Equivalent Fractions Chart
Equivalent fractions are fractions with a different numerator and denominator but equal in value to each other. For example, 1/2 and 2/4 are equivalent fractions because they are both equal to 0.5.
The chart below shows the fraction equivalents for common fractions. Use it to simplify fractions quickly or quickly find common denominators or common factors for some fractions.
Fraction not found, try simplifying it further. Try our equivalent fractions calculator.
| Fraction | Equivalent Fractions | Decimal | ||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1/2 | 2/4 | 3/6 | 4/8 | 5/10 | 6/12 | 7/14 | 8/16 | 9/18 | 10/20 | 11/22 | 12/24 | 13/26 | 14/28 | 15/30 | 16/32 | 17/34 | 18/36 | 19/38 | 20/40 | 0.5 |
| 1/3 | 2/6 | 3/9 | 4/12 | 5/15 | 6/18 | 7/21 | 8/24 | 9/27 | 10/30 | 11/33 | 12/36 | 13/39 | 14/42 | 15/45 | 16/48 | 17/51 | 18/54 | 19/57 | 20/60 | 0.3333 |
| 2/3 | 4/6 | 6/9 | 8/12 | 10/15 | 12/18 | 14/21 | 16/24 | 18/27 | 20/30 | 22/33 | 24/36 | 26/39 | 28/42 | 30/45 | 32/48 | 34/51 | 36/54 | 38/57 | 40/60 | 0.6667 |
| 1/4 | 2/8 | 3/12 | 4/16 | 5/20 | 6/24 | 7/28 | 8/32 | 9/36 | 10/40 | 11/44 | 12/48 | 13/52 | 14/56 | 15/60 | 16/64 | 17/68 | 18/72 | 19/76 | 20/80 | 0.25 |
| 3/4 | 6/8 | 9/12 | 12/16 | 15/20 | 18/24 | 21/28 | 24/32 | 27/36 | 30/40 | 33/44 | 36/48 | 39/52 | 42/56 | 45/60 | 48/64 | 51/68 | 54/72 | 57/76 | 60/80 | 0.75 |
| 1/5 | 2/10 | 3/15 | 4/20 | 5/25 | 6/30 | 7/35 | 8/40 | 9/45 | 10/50 | 11/55 | 12/60 | 13/65 | 14/70 | 15/75 | 16/80 | 17/85 | 18/90 | 19/95 | 20/100 | 0.2 |
| 2/5 | 4/10 | 6/15 | 8/20 | 10/25 | 12/30 | 14/35 | 16/40 | 18/45 | 20/50 | 22/55 | 24/60 | 26/65 | 28/70 | 30/75 | 32/80 | 34/85 | 36/90 | 38/95 | 40/100 | 0.4 |
| 3/5 | 6/10 | 9/15 | 12/20 | 15/25 | 18/30 | 21/35 | 24/40 | 27/45 | 30/50 | 33/55 | 36/60 | 39/65 | 42/70 | 45/75 | 48/80 | 51/85 | 54/90 | 57/95 | 60/100 | 0.6 |
| 4/5 | 8/10 | 12/15 | 16/20 | 20/25 | 24/30 | 28/35 | 32/40 | 36/45 | 40/50 | 44/55 | 48/60 | 52/65 | 56/70 | 60/75 | 64/80 | 68/85 | 72/90 | 76/95 | 80/100 | 0.8 |
| 1/6 | 2/12 | 3/18 | 4/24 | 5/30 | 6/36 | 7/42 | 8/48 | 9/54 | 10/60 | 11/66 | 12/72 | 13/78 | 14/84 | 15/90 | 16/96 | 17/102 | 18/108 | 19/114 | 20/120 | 0.1667 |
| 5/6 | 10/12 | 15/18 | 20/24 | 25/30 | 30/36 | 35/42 | 40/48 | 45/54 | 50/60 | 55/66 | 60/72 | 65/78 | 70/84 | 75/90 | 80/96 | 85/102 | 90/108 | 95/114 | 100/120 | 0.8333 |
| 1/7 | 2/14 | 3/21 | 4/28 | 5/35 | 6/42 | 7/49 | 8/56 | 9/63 | 10/70 | 11/77 | 12/84 | 13/91 | 14/98 | 15/105 | 16/112 | 17/119 | 18/126 | 19/133 | 20/140 | 0.1429 |
| 2/7 | 4/14 | 6/21 | 8/28 | 10/35 | 12/42 | 14/49 | 16/56 | 18/63 | 20/70 | 22/77 | 24/84 | 26/91 | 28/98 | 30/105 | 32/112 | 34/119 | 36/126 | 38/133 | 40/140 | 0.2857 |
| 3/7 | 6/14 | 9/21 | 12/28 | 15/35 | 18/42 | 21/49 | 24/56 | 27/63 | 30/70 | 33/77 | 36/84 | 39/91 | 42/98 | 45/105 | 48/112 | 51/119 | 54/126 | 57/133 | 60/140 | 0.4286 |
| 4/7 | 8/14 | 12/21 | 16/28 | 20/35 | 24/42 | 28/49 | 32/56 | 36/63 | 40/70 | 44/77 | 48/84 | 52/91 | 56/98 | 60/105 | 64/112 | 68/119 | 72/126 | 76/133 | 80/140 | 0.5714 |
| 5/7 | 10/14 | 15/21 | 20/28 | 25/35 | 30/42 | 35/49 | 40/56 | 45/63 | 50/70 | 55/77 | 60/84 | 65/91 | 70/98 | 75/105 | 80/112 | 85/119 | 90/126 | 95/133 | 100/140 | 0.7143 |
| 6/7 | 12/14 | 18/21 | 24/28 | 30/35 | 36/42 | 42/49 | 48/56 | 54/63 | 60/70 | 66/77 | 72/84 | 78/91 | 84/98 | 90/105 | 96/112 | 102/119 | 108/126 | 114/133 | 120/140 | 0.8571 |
| 1/8 | 2/16 | 3/24 | 4/32 | 5/40 | 6/48 | 7/56 | 8/64 | 9/72 | 10/80 | 11/88 | 12/96 | 13/104 | 14/112 | 15/120 | 16/128 | 17/136 | 18/144 | 19/152 | 20/160 | 0.125 |
| 3/8 | 6/16 | 9/24 | 12/32 | 15/40 | 18/48 | 21/56 | 24/64 | 27/72 | 30/80 | 33/88 | 36/96 | 39/104 | 42/112 | 45/120 | 48/128 | 51/136 | 54/144 | 57/152 | 60/160 | 0.375 |
| 5/8 | 10/16 | 15/24 | 20/32 | 25/40 | 30/48 | 35/56 | 40/64 | 45/72 | 50/80 | 55/88 | 60/96 | 65/104 | 70/112 | 75/120 | 80/128 | 85/136 | 90/144 | 95/152 | 100/160 | 0.625 |
| 7/8 | 14/16 | 21/24 | 28/32 | 35/40 | 42/48 | 49/56 | 56/64 | 63/72 | 70/80 | 77/88 | 84/96 | 91/104 | 98/112 | 105/120 | 112/128 | 119/136 | 126/144 | 133/152 | 140/160 | 0.875 |
| 1/9 | 2/18 | 3/27 | 4/36 | 5/45 | 6/54 | 7/63 | 8/72 | 9/81 | 10/90 | 11/99 | 12/108 | 13/117 | 14/126 | 15/135 | 16/144 | 17/153 | 18/162 | 19/171 | 20/180 | 0.1111 |
| 2/9 | 4/18 | 6/27 | 8/36 | 10/45 | 12/54 | 14/63 | 16/72 | 18/81 | 20/90 | 22/99 | 24/108 | 26/117 | 28/126 | 30/135 | 32/144 | 34/153 | 36/162 | 38/171 | 40/180 | 0.2222 |
| 4/9 | 8/18 | 12/27 | 16/36 | 20/45 | 24/54 | 28/63 | 32/72 | 36/81 | 40/90 | 44/99 | 48/108 | 52/117 | 56/126 | 60/135 | 64/144 | 68/153 | 72/162 | 76/171 | 80/180 | 0.4444 |
| 5/9 | 10/18 | 15/27 | 20/36 | 25/45 | 30/54 | 35/63 | 40/72 | 45/81 | 50/90 | 55/99 | 60/108 | 65/117 | 70/126 | 75/135 | 80/144 | 85/153 | 90/162 | 95/171 | 100/180 | 0.5556 |
| 7/9 | 14/18 | 21/27 | 28/36 | 35/45 | 42/54 | 49/63 | 56/72 | 63/81 | 70/90 | 77/99 | 84/108 | 91/117 | 98/126 | 105/135 | 112/144 | 119/153 | 126/162 | 133/171 | 140/180 | 0.7778 |
| 8/9 | 16/18 | 24/27 | 32/36 | 40/45 | 48/54 | 56/63 | 64/72 | 72/81 | 80/90 | 88/99 | 96/108 | 104/117 | 112/126 | 120/135 | 128/144 | 136/153 | 144/162 | 152/171 | 160/180 | 0.8889 |
| 1/10 | 2/20 | 3/30 | 4/40 | 5/50 | 6/60 | 7/70 | 8/80 | 9/90 | 10/100 | 11/110 | 12/120 | 13/130 | 14/140 | 15/150 | 16/160 | 17/170 | 18/180 | 19/190 | 20/200 | 0.1 |
| 3/10 | 6/20 | 9/30 | 12/40 | 15/50 | 18/60 | 21/70 | 24/80 | 27/90 | 30/100 | 33/110 | 36/120 | 39/130 | 42/140 | 45/150 | 48/160 | 51/170 | 54/180 | 57/190 | 60/200 | 0.3 |
| 7/10 | 14/20 | 21/30 | 28/40 | 35/50 | 42/60 | 49/70 | 56/80 | 63/90 | 70/100 | 77/110 | 84/120 | 91/130 | 98/140 | 105/150 | 112/160 | 119/170 | 126/180 | 133/190 | 140/200 | 0.7 |
| 9/10 | 18/20 | 27/30 | 36/40 | 45/50 | 54/60 | 63/70 | 72/80 | 81/90 | 90/100 | 99/110 | 108/120 | 117/130 | 126/140 | 135/150 | 144/160 | 153/170 | 162/180 | 171/190 | 180/200 | 0.9 |
| 1/11 | 2/22 | 3/33 | 4/44 | 5/55 | 6/66 | 7/77 | 8/88 | 9/99 | 10/110 | 11/121 | 12/132 | 13/143 | 14/154 | 15/165 | 16/176 | 17/187 | 18/198 | 19/209 | 20/220 | 0.0909 |
| 2/11 | 4/22 | 6/33 | 8/44 | 10/55 | 12/66 | 14/77 | 16/88 | 18/99 | 20/110 | 22/121 | 24/132 | 26/143 | 28/154 | 30/165 | 32/176 | 34/187 | 36/198 | 38/209 | 40/220 | 0.1818 |
| 3/11 | 6/22 | 9/33 | 12/44 | 15/55 | 18/66 | 21/77 | 24/88 | 27/99 | 30/110 | 33/121 | 36/132 | 39/143 | 42/154 | 45/165 | 48/176 | 51/187 | 54/198 | 57/209 | 60/220 | 0.2727 |
| 4/11 | 8/22 | 12/33 | 16/44 | 20/55 | 24/66 | 28/77 | 32/88 | 36/99 | 40/110 | 44/121 | 48/132 | 52/143 | 56/154 | 60/165 | 64/176 | 68/187 | 72/198 | 76/209 | 80/220 | 0.3636 |
| 5/11 | 10/22 | 15/33 | 20/44 | 25/55 | 30/66 | 35/77 | 40/88 | 45/99 | 50/110 | 55/121 | 60/132 | 65/143 | 70/154 | 75/165 | 80/176 | 85/187 | 90/198 | 95/209 | 100/220 | 0.4545 |
| 6/11 | 12/22 | 18/33 | 24/44 | 30/55 | 36/66 | 42/77 | 48/88 | 54/99 | 60/110 | 66/121 | 72/132 | 78/143 | 84/154 | 90/165 | 96/176 | 102/187 | 108/198 | 114/209 | 120/220 | 0.5455 |
| 7/11 | 14/22 | 21/33 | 28/44 | 35/55 | 42/66 | 49/77 | 56/88 | 63/99 | 70/110 | 77/121 | 84/132 | 91/143 | 98/154 | 105/165 | 112/176 | 119/187 | 126/198 | 133/209 | 140/220 | 0.6364 |
| 8/11 | 16/22 | 24/33 | 32/44 | 40/55 | 48/66 | 56/77 | 64/88 | 72/99 | 80/110 | 88/121 | 96/132 | 104/143 | 112/154 | 120/165 | 128/176 | 136/187 | 144/198 | 152/209 | 160/220 | 0.7273 |
| 9/11 | 18/22 | 27/33 | 36/44 | 45/55 | 54/66 | 63/77 | 72/88 | 81/99 | 90/110 | 99/121 | 108/132 | 117/143 | 126/154 | 135/165 | 144/176 | 153/187 | 162/198 | 171/209 | 180/220 | 0.8182 |
| 10/11 | 20/22 | 30/33 | 40/44 | 50/55 | 60/66 | 70/77 | 80/88 | 90/99 | 100/110 | 110/121 | 120/132 | 130/143 | 140/154 | 150/165 | 160/176 | 170/187 | 180/198 | 190/209 | 200/220 | 0.9091 |
| 1/12 | 2/24 | 3/36 | 4/48 | 5/60 | 6/72 | 7/84 | 8/96 | 9/108 | 10/120 | 11/132 | 12/144 | 13/156 | 14/168 | 15/180 | 16/192 | 17/204 | 18/216 | 19/228 | 20/240 | 0.0833 |
| 5/12 | 10/24 | 15/36 | 20/48 | 25/60 | 30/72 | 35/84 | 40/96 | 45/108 | 50/120 | 55/132 | 60/144 | 65/156 | 70/168 | 75/180 | 80/192 | 85/204 | 90/216 | 95/228 | 100/240 | 0.4167 |
| 7/12 | 14/24 | 21/36 | 28/48 | 35/60 | 42/72 | 49/84 | 56/96 | 63/108 | 70/120 | 77/132 | 84/144 | 91/156 | 98/168 | 105/180 | 112/192 | 119/204 | 126/216 | 133/228 | 140/240 | 0.5833 |
| 11/12 | 22/24 | 33/36 | 44/48 | 55/60 | 66/72 | 77/84 | 88/96 | 99/108 | 110/120 | 121/132 | 132/144 | 143/156 | 154/168 | 165/180 | 176/192 | 187/204 | 198/216 | 209/228 | 220/240 | 0.9167 |
| 1/13 | 2/26 | 3/39 | 4/52 | 5/65 | 6/78 | 7/91 | 8/104 | 9/117 | 10/130 | 11/143 | 12/156 | 13/169 | 14/182 | 15/195 | 16/208 | 17/221 | 18/234 | 19/247 | 20/260 | 0.0769 |
| 2/13 | 4/26 | 6/39 | 8/52 | 10/65 | 12/78 | 14/91 | 16/104 | 18/117 | 20/130 | 22/143 | 24/156 | 26/169 | 28/182 | 30/195 | 32/208 | 34/221 | 36/234 | 38/247 | 40/260 | 0.1538 |
| 3/13 | 6/26 | 9/39 | 12/52 | 15/65 | 18/78 | 21/91 | 24/104 | 27/117 | 30/130 | 33/143 | 36/156 | 39/169 | 42/182 | 45/195 | 48/208 | 51/221 | 54/234 | 57/247 | 60/260 | 0.2308 |
| 4/13 | 8/26 | 12/39 | 16/52 | 20/65 | 24/78 | 28/91 | 32/104 | 36/117 | 40/130 | 44/143 | 48/156 | 52/169 | 56/182 | 60/195 | 64/208 | 68/221 | 72/234 | 76/247 | 80/260 | 0.3077 |
| 5/13 | 10/26 | 15/39 | 20/52 | 25/65 | 30/78 | 35/91 | 40/104 | 45/117 | 50/130 | 55/143 | 60/156 | 65/169 | 70/182 | 75/195 | 80/208 | 85/221 | 90/234 | 95/247 | 100/260 | 0.3846 |
| 6/13 | 12/26 | 18/39 | 24/52 | 30/65 | 36/78 | 42/91 | 48/104 | 54/117 | 60/130 | 66/143 | 72/156 | 78/169 | 84/182 | 90/195 | 96/208 | 102/221 | 108/234 | 114/247 | 120/260 | 0.4615 |
| 7/13 | 14/26 | 21/39 | 28/52 | 35/65 | 42/78 | 49/91 | 56/104 | 63/117 | 70/130 | 77/143 | 84/156 | 91/169 | 98/182 | 105/195 | 112/208 | 119/221 | 126/234 | 133/247 | 140/260 | 0.5385 |
| 8/13 | 16/26 | 24/39 | 32/52 | 40/65 | 48/78 | 56/91 | 64/104 | 72/117 | 80/130 | 88/143 | 96/156 | 104/169 | 112/182 | 120/195 | 128/208 | 136/221 | 144/234 | 152/247 | 160/260 | 0.6154 |
| 9/13 | 18/26 | 27/39 | 36/52 | 45/65 | 54/78 | 63/91 | 72/104 | 81/117 | 90/130 | 99/143 | 108/156 | 117/169 | 126/182 | 135/195 | 144/208 | 153/221 | 162/234 | 171/247 | 180/260 | 0.6923 |
| 10/13 | 20/26 | 30/39 | 40/52 | 50/65 | 60/78 | 70/91 | 80/104 | 90/117 | 100/130 | 110/143 | 120/156 | 130/169 | 140/182 | 150/195 | 160/208 | 170/221 | 180/234 | 190/247 | 200/260 | 0.7692 |
| 11/13 | 22/26 | 33/39 | 44/52 | 55/65 | 66/78 | 77/91 | 88/104 | 99/117 | 110/130 | 121/143 | 132/156 | 143/169 | 154/182 | 165/195 | 176/208 | 187/221 | 198/234 | 209/247 | 220/260 | 0.8462 |
| 12/13 | 24/26 | 36/39 | 48/52 | 60/65 | 72/78 | 84/91 | 96/104 | 108/117 | 120/130 | 132/143 | 144/156 | 156/169 | 168/182 | 180/195 | 192/208 | 204/221 | 216/234 | 228/247 | 240/260 | 0.9231 |
| 1/14 | 2/28 | 3/42 | 4/56 | 5/70 | 6/84 | 7/98 | 8/112 | 9/126 | 10/140 | 11/154 | 12/168 | 13/182 | 14/196 | 15/210 | 16/224 | 17/238 | 18/252 | 19/266 | 20/280 | 0.0714 |
| 3/14 | 6/28 | 9/42 | 12/56 | 15/70 | 18/84 | 21/98 | 24/112 | 27/126 | 30/140 | 33/154 | 36/168 | 39/182 | 42/196 | 45/210 | 48/224 | 51/238 | 54/252 | 57/266 | 60/280 | 0.2143 |
| 5/14 | 10/28 | 15/42 | 20/56 | 25/70 | 30/84 | 35/98 | 40/112 | 45/126 | 50/140 | 55/154 | 60/168 | 65/182 | 70/196 | 75/210 | 80/224 | 85/238 | 90/252 | 95/266 | 100/280 | 0.3571 |
| 9/14 | 18/28 | 27/42 | 36/56 | 45/70 | 54/84 | 63/98 | 72/112 | 81/126 | 90/140 | 99/154 | 108/168 | 117/182 | 126/196 | 135/210 | 144/224 | 153/238 | 162/252 | 171/266 | 180/280 | 0.6429 |
| 11/14 | 22/28 | 33/42 | 44/56 | 55/70 | 66/84 | 77/98 | 88/112 | 99/126 | 110/140 | 121/154 | 132/168 | 143/182 | 154/196 | 165/210 | 176/224 | 187/238 | 198/252 | 209/266 | 220/280 | 0.7857 |
| 13/14 | 26/28 | 39/42 | 52/56 | 65/70 | 78/84 | 91/98 | 104/112 | 117/126 | 130/140 | 143/154 | 156/168 | 169/182 | 182/196 | 195/210 | 208/224 | 221/238 | 234/252 | 247/266 | 260/280 | 0.9286 |
| 1/15 | 2/30 | 3/45 | 4/60 | 5/75 | 6/90 | 7/105 | 8/120 | 9/135 | 10/150 | 11/165 | 12/180 | 13/195 | 14/210 | 15/225 | 16/240 | 17/255 | 18/270 | 19/285 | 20/300 | 0.0667 |
| 2/15 | 4/30 | 6/45 | 8/60 | 10/75 | 12/90 | 14/105 | 16/120 | 18/135 | 20/150 | 22/165 | 24/180 | 26/195 | 28/210 | 30/225 | 32/240 | 34/255 | 36/270 | 38/285 | 40/300 | 0.1333 |
| 4/15 | 8/30 | 12/45 | 16/60 | 20/75 | 24/90 | 28/105 | 32/120 | 36/135 | 40/150 | 44/165 | 48/180 | 52/195 | 56/210 | 60/225 | 64/240 | 68/255 | 72/270 | 76/285 | 80/300 | 0.2667 |
| 7/15 | 14/30 | 21/45 | 28/60 | 35/75 | 42/90 | 49/105 | 56/120 | 63/135 | 70/150 | 77/165 | 84/180 | 91/195 | 98/210 | 105/225 | 112/240 | 119/255 | 126/270 | 133/285 | 140/300 | 0.4667 |
| 8/15 | 16/30 | 24/45 | 32/60 | 40/75 | 48/90 | 56/105 | 64/120 | 72/135 | 80/150 | 88/165 | 96/180 | 104/195 | 112/210 | 120/225 | 128/240 | 136/255 | 144/270 | 152/285 | 160/300 | 0.5333 |
| 11/15 | 22/30 | 33/45 | 44/60 | 55/75 | 66/90 | 77/105 | 88/120 | 99/135 | 110/150 | 121/165 | 132/180 | 143/195 | 154/210 | 165/225 | 176/240 | 187/255 | 198/270 | 209/285 | 220/300 | 0.7333 |
| 13/15 | 26/30 | 39/45 | 52/60 | 65/75 | 78/90 | 91/105 | 104/120 | 117/135 | 130/150 | 143/165 | 156/180 | 169/195 | 182/210 | 195/225 | 208/240 | 221/255 | 234/270 | 247/285 | 260/300 | 0.8667 |
| 14/15 | 28/30 | 42/45 | 56/60 | 70/75 | 84/90 | 98/105 | 112/120 | 126/135 | 140/150 | 154/165 | 168/180 | 182/195 | 196/210 | 210/225 | 224/240 | 238/255 | 252/270 | 266/285 | 280/300 | 0.9333 |
| 1/16 | 2/32 | 3/48 | 4/64 | 5/80 | 6/96 | 7/112 | 8/128 | 9/144 | 10/160 | 11/176 | 12/192 | 13/208 | 14/224 | 15/240 | 16/256 | 17/272 | 18/288 | 19/304 | 20/320 | 0.0625 |
| 3/16 | 6/32 | 9/48 | 12/64 | 15/80 | 18/96 | 21/112 | 24/128 | 27/144 | 30/160 | 33/176 | 36/192 | 39/208 | 42/224 | 45/240 | 48/256 | 51/272 | 54/288 | 57/304 | 60/320 | 0.1875 |
| 5/16 | 10/32 | 15/48 | 20/64 | 25/80 | 30/96 | 35/112 | 40/128 | 45/144 | 50/160 | 55/176 | 60/192 | 65/208 | 70/224 | 75/240 | 80/256 | 85/272 | 90/288 | 95/304 | 100/320 | 0.3125 |
| 7/16 | 14/32 | 21/48 | 28/64 | 35/80 | 42/96 | 49/112 | 56/128 | 63/144 | 70/160 | 77/176 | 84/192 | 91/208 | 98/224 | 105/240 | 112/256 | 119/272 | 126/288 | 133/304 | 140/320 | 0.4375 |
| 9/16 | 18/32 | 27/48 | 36/64 | 45/80 | 54/96 | 63/112 | 72/128 | 81/144 | 90/160 | 99/176 | 108/192 | 117/208 | 126/224 | 135/240 | 144/256 | 153/272 | 162/288 | 171/304 | 180/320 | 0.5625 |
| 11/16 | 22/32 | 33/48 | 44/64 | 55/80 | 66/96 | 77/112 | 88/128 | 99/144 | 110/160 | 121/176 | 132/192 | 143/208 | 154/224 | 165/240 | 176/256 | 187/272 | 198/288 | 209/304 | 220/320 | 0.6875 |
| 13/16 | 26/32 | 39/48 | 52/64 | 65/80 | 78/96 | 91/112 | 104/128 | 117/144 | 130/160 | 143/176 | 156/192 | 169/208 | 182/224 | 195/240 | 208/256 | 221/272 | 234/288 | 247/304 | 260/320 | 0.8125 |
| 15/16 | 30/32 | 45/48 | 60/64 | 75/80 | 90/96 | 105/112 | 120/128 | 135/144 | 150/160 | 165/176 | 180/192 | 195/208 | 210/224 | 225/240 | 240/256 | 255/272 | 270/288 | 285/304 | 300/320 | 0.9375 |
| 1/17 | 2/34 | 3/51 | 4/68 | 5/85 | 6/102 | 7/119 | 8/136 | 9/153 | 10/170 | 11/187 | 12/204 | 13/221 | 14/238 | 15/255 | 16/272 | 17/289 | 18/306 | 19/323 | 20/340 | 0.0588 |
| 2/17 | 4/34 | 6/51 | 8/68 | 10/85 | 12/102 | 14/119 | 16/136 | 18/153 | 20/170 | 22/187 | 24/204 | 26/221 | 28/238 | 30/255 | 32/272 | 34/289 | 36/306 | 38/323 | 40/340 | 0.1176 |
| 3/17 | 6/34 | 9/51 | 12/68 | 15/85 | 18/102 | 21/119 | 24/136 | 27/153 | 30/170 | 33/187 | 36/204 | 39/221 | 42/238 | 45/255 | 48/272 | 51/289 | 54/306 | 57/323 | 60/340 | 0.1765 |
| 4/17 | 8/34 | 12/51 | 16/68 | 20/85 | 24/102 | 28/119 | 32/136 | 36/153 | 40/170 | 44/187 | 48/204 | 52/221 | 56/238 | 60/255 | 64/272 | 68/289 | 72/306 | 76/323 | 80/340 | 0.2353 |
| 5/17 | 10/34 | 15/51 | 20/68 | 25/85 | 30/102 | 35/119 | 40/136 | 45/153 | 50/170 | 55/187 | 60/204 | 65/221 | 70/238 | 75/255 | 80/272 | 85/289 | 90/306 | 95/323 | 100/340 | 0.2941 |
| 6/17 | 12/34 | 18/51 | 24/68 | 30/85 | 36/102 | 42/119 | 48/136 | 54/153 | 60/170 | 66/187 | 72/204 | 78/221 | 84/238 | 90/255 | 96/272 | 102/289 | 108/306 | 114/323 | 120/340 | 0.3529 |
| 7/17 | 14/34 | 21/51 | 28/68 | 35/85 | 42/102 | 49/119 | 56/136 | 63/153 | 70/170 | 77/187 | 84/204 | 91/221 | 98/238 | 105/255 | 112/272 | 119/289 | 126/306 | 133/323 | 140/340 | 0.4118 |
| 8/17 | 16/34 | 24/51 | 32/68 | 40/85 | 48/102 | 56/119 | 64/136 | 72/153 | 80/170 | 88/187 | 96/204 | 104/221 | 112/238 | 120/255 | 128/272 | 136/289 | 144/306 | 152/323 | 160/340 | 0.4706 |
| 9/17 | 18/34 | 27/51 | 36/68 | 45/85 | 54/102 | 63/119 | 72/136 | 81/153 | 90/170 | 99/187 | 108/204 | 117/221 | 126/238 | 135/255 | 144/272 | 153/289 | 162/306 | 171/323 | 180/340 | 0.5294 |
| 10/17 | 20/34 | 30/51 | 40/68 | 50/85 | 60/102 | 70/119 | 80/136 | 90/153 | 100/170 | 110/187 | 120/204 | 130/221 | 140/238 | 150/255 | 160/272 | 170/289 | 180/306 | 190/323 | 200/340 | 0.5882 |
| 11/17 | 22/34 | 33/51 | 44/68 | 55/85 | 66/102 | 77/119 | 88/136 | 99/153 | 110/170 | 121/187 | 132/204 | 143/221 | 154/238 | 165/255 | 176/272 | 187/289 | 198/306 | 209/323 | 220/340 | 0.6471 |
| 12/17 | 24/34 | 36/51 | 48/68 | 60/85 | 72/102 | 84/119 | 96/136 | 108/153 | 120/170 | 132/187 | 144/204 | 156/221 | 168/238 | 180/255 | 192/272 | 204/289 | 216/306 | 228/323 | 240/340 | 0.7059 |
| 13/17 | 26/34 | 39/51 | 52/68 | 65/85 | 78/102 | 91/119 | 104/136 | 117/153 | 130/170 | 143/187 | 156/204 | 169/221 | 182/238 | 195/255 | 208/272 | 221/289 | 234/306 | 247/323 | 260/340 | 0.7647 |
| 14/17 | 28/34 | 42/51 | 56/68 | 70/85 | 84/102 | 98/119 | 112/136 | 126/153 | 140/170 | 154/187 | 168/204 | 182/221 | 196/238 | 210/255 | 224/272 | 238/289 | 252/306 | 266/323 | 280/340 | 0.8235 |
| 15/17 | 30/34 | 45/51 | 60/68 | 75/85 | 90/102 | 105/119 | 120/136 | 135/153 | 150/170 | 165/187 | 180/204 | 195/221 | 210/238 | 225/255 | 240/272 | 255/289 | 270/306 | 285/323 | 300/340 | 0.8824 |
| 16/17 | 32/34 | 48/51 | 64/68 | 80/85 | 96/102 | 112/119 | 128/136 | 144/153 | 160/170 | 176/187 | 192/204 | 208/221 | 224/238 | 240/255 | 256/272 | 272/289 | 288/306 | 304/323 | 320/340 | 0.9412 |
| 1/18 | 2/36 | 3/54 | 4/72 | 5/90 | 6/108 | 7/126 | 8/144 | 9/162 | 10/180 | 11/198 | 12/216 | 13/234 | 14/252 | 15/270 | 16/288 | 17/306 | 18/324 | 19/342 | 20/360 | 0.0556 |
| 5/18 | 10/36 | 15/54 | 20/72 | 25/90 | 30/108 | 35/126 | 40/144 | 45/162 | 50/180 | 55/198 | 60/216 | 65/234 | 70/252 | 75/270 | 80/288 | 85/306 | 90/324 | 95/342 | 100/360 | 0.2778 |
| 7/18 | 14/36 | 21/54 | 28/72 | 35/90 | 42/108 | 49/126 | 56/144 | 63/162 | 70/180 | 77/198 | 84/216 | 91/234 | 98/252 | 105/270 | 112/288 | 119/306 | 126/324 | 133/342 | 140/360 | 0.3889 |
| 11/18 | 22/36 | 33/54 | 44/72 | 55/90 | 66/108 | 77/126 | 88/144 | 99/162 | 110/180 | 121/198 | 132/216 | 143/234 | 154/252 | 165/270 | 176/288 | 187/306 | 198/324 | 209/342 | 220/360 | 0.6111 |
| 13/18 | 26/36 | 39/54 | 52/72 | 65/90 | 78/108 | 91/126 | 104/144 | 117/162 | 130/180 | 143/198 | 156/216 | 169/234 | 182/252 | 195/270 | 208/288 | 221/306 | 234/324 | 247/342 | 260/360 | 0.7222 |
| 17/18 | 34/36 | 51/54 | 68/72 | 85/90 | 102/108 | 119/126 | 136/144 | 153/162 | 170/180 | 187/198 | 204/216 | 221/234 | 238/252 | 255/270 | 272/288 | 289/306 | 306/324 | 323/342 | 340/360 | 0.9444 |
| 1/19 | 2/38 | 3/57 | 4/76 | 5/95 | 6/114 | 7/133 | 8/152 | 9/171 | 10/190 | 11/209 | 12/228 | 13/247 | 14/266 | 15/285 | 16/304 | 17/323 | 18/342 | 19/361 | 20/380 | 0.0526 |
| 2/19 | 4/38 | 6/57 | 8/76 | 10/95 | 12/114 | 14/133 | 16/152 | 18/171 | 20/190 | 22/209 | 24/228 | 26/247 | 28/266 | 30/285 | 32/304 | 34/323 | 36/342 | 38/361 | 40/380 | 0.1053 |
| 3/19 | 6/38 | 9/57 | 12/76 | 15/95 | 18/114 | 21/133 | 24/152 | 27/171 | 30/190 | 33/209 | 36/228 | 39/247 | 42/266 | 45/285 | 48/304 | 51/323 | 54/342 | 57/361 | 60/380 | 0.1579 |
| 4/19 | 8/38 | 12/57 | 16/76 | 20/95 | 24/114 | 28/133 | 32/152 | 36/171 | 40/190 | 44/209 | 48/228 | 52/247 | 56/266 | 60/285 | 64/304 | 68/323 | 72/342 | 76/361 | 80/380 | 0.2105 |
| 5/19 | 10/38 | 15/57 | 20/76 | 25/95 | 30/114 | 35/133 | 40/152 | 45/171 | 50/190 | 55/209 | 60/228 | 65/247 | 70/266 | 75/285 | 80/304 | 85/323 | 90/342 | 95/361 | 100/380 | 0.2632 |
| 6/19 | 12/38 | 18/57 | 24/76 | 30/95 | 36/114 | 42/133 | 48/152 | 54/171 | 60/190 | 66/209 | 72/228 | 78/247 | 84/266 | 90/285 | 96/304 | 102/323 | 108/342 | 114/361 | 120/380 | 0.3158 |
| 7/19 | 14/38 | 21/57 | 28/76 | 35/95 | 42/114 | 49/133 | 56/152 | 63/171 | 70/190 | 77/209 | 84/228 | 91/247 | 98/266 | 105/285 | 112/304 | 119/323 | 126/342 | 133/361 | 140/380 | 0.3684 |
| 8/19 | 16/38 | 24/57 | 32/76 | 40/95 | 48/114 | 56/133 | 64/152 | 72/171 | 80/190 | 88/209 | 96/228 | 104/247 | 112/266 | 120/285 | 128/304 | 136/323 | 144/342 | 152/361 | 160/380 | 0.4211 |
| 9/19 | 18/38 | 27/57 | 36/76 | 45/95 | 54/114 | 63/133 | 72/152 | 81/171 | 90/190 | 99/209 | 108/228 | 117/247 | 126/266 | 135/285 | 144/304 | 153/323 | 162/342 | 171/361 | 180/380 | 0.4737 |
| 10/19 | 20/38 | 30/57 | 40/76 | 50/95 | 60/114 | 70/133 | 80/152 | 90/171 | 100/190 | 110/209 | 120/228 | 130/247 | 140/266 | 150/285 | 160/304 | 170/323 | 180/342 | 190/361 | 200/380 | 0.5263 |
| 11/19 | 22/38 | 33/57 | 44/76 | 55/95 | 66/114 | 77/133 | 88/152 | 99/171 | 110/190 | 121/209 | 132/228 | 143/247 | 154/266 | 165/285 | 176/304 | 187/323 | 198/342 | 209/361 | 220/380 | 0.5789 |
| 12/19 | 24/38 | 36/57 | 48/76 | 60/95 | 72/114 | 84/133 | 96/152 | 108/171 | 120/190 | 132/209 | 144/228 | 156/247 | 168/266 | 180/285 | 192/304 | 204/323 | 216/342 | 228/361 | 240/380 | 0.6316 |
| 13/19 | 26/38 | 39/57 | 52/76 | 65/95 | 78/114 | 91/133 | 104/152 | 117/171 | 130/190 | 143/209 | 156/228 | 169/247 | 182/266 | 195/285 | 208/304 | 221/323 | 234/342 | 247/361 | 260/380 | 0.6842 |
| 14/19 | 28/38 | 42/57 | 56/76 | 70/95 | 84/114 | 98/133 | 112/152 | 126/171 | 140/190 | 154/209 | 168/228 | 182/247 | 196/266 | 210/285 | 224/304 | 238/323 | 252/342 | 266/361 | 280/380 | 0.7368 |
| 15/19 | 30/38 | 45/57 | 60/76 | 75/95 | 90/114 | 105/133 | 120/152 | 135/171 | 150/190 | 165/209 | 180/228 | 195/247 | 210/266 | 225/285 | 240/304 | 255/323 | 270/342 | 285/361 | 300/380 | 0.7895 |
| 16/19 | 32/38 | 48/57 | 64/76 | 80/95 | 96/114 | 112/133 | 128/152 | 144/171 | 160/190 | 176/209 | 192/228 | 208/247 | 224/266 | 240/285 | 256/304 | 272/323 | 288/342 | 304/361 | 320/380 | 0.8421 |
| 17/19 | 34/38 | 51/57 | 68/76 | 85/95 | 102/114 | 119/133 | 136/152 | 153/171 | 170/190 | 187/209 | 204/228 | 221/247 | 238/266 | 255/285 | 272/304 | 289/323 | 306/342 | 323/361 | 340/380 | 0.8947 |
| 18/19 | 36/38 | 54/57 | 72/76 | 90/95 | 108/114 | 126/133 | 144/152 | 162/171 | 180/190 | 198/209 | 216/228 | 234/247 | 252/266 | 270/285 | 288/304 | 306/323 | 324/342 | 342/361 | 360/380 | 0.9474 |
| 1/20 | 2/40 | 3/60 | 4/80 | 5/100 | 6/120 | 7/140 | 8/160 | 9/180 | 10/200 | 11/220 | 12/240 | 13/260 | 14/280 | 15/300 | 16/320 | 17/340 | 18/360 | 19/380 | 20/400 | 0.05 |
| 3/20 | 6/40 | 9/60 | 12/80 | 15/100 | 18/120 | 21/140 | 24/160 | 27/180 | 30/200 | 33/220 | 36/240 | 39/260 | 42/280 | 45/300 | 48/320 | 51/340 | 54/360 | 57/380 | 60/400 | 0.15 |
| 7/20 | 14/40 | 21/60 | 28/80 | 35/100 | 42/120 | 49/140 | 56/160 | 63/180 | 70/200 | 77/220 | 84/240 | 91/260 | 98/280 | 105/300 | 112/320 | 119/340 | 126/360 | 133/380 | 140/400 | 0.35 |
| 9/20 | 18/40 | 27/60 | 36/80 | 45/100 | 54/120 | 63/140 | 72/160 | 81/180 | 90/200 | 99/220 | 108/240 | 117/260 | 126/280 | 135/300 | 144/320 | 153/340 | 162/360 | 171/380 | 180/400 | 0.45 |
| 11/20 | 22/40 | 33/60 | 44/80 | 55/100 | 66/120 | 77/140 | 88/160 | 99/180 | 110/200 | 121/220 | 132/240 | 143/260 | 154/280 | 165/300 | 176/320 | 187/340 | 198/360 | 209/380 | 220/400 | 0.55 |
| 13/20 | 26/40 | 39/60 | 52/80 | 65/100 | 78/120 | 91/140 | 104/160 | 117/180 | 130/200 | 143/220 | 156/240 | 169/260 | 182/280 | 195/300 | 208/320 | 221/340 | 234/360 | 247/380 | 260/400 | 0.65 |
| 17/20 | 34/40 | 51/60 | 68/80 | 85/100 | 102/120 | 119/140 | 136/160 | 153/180 | 170/200 | 187/220 | 204/240 | 221/260 | 238/280 | 255/300 | 272/320 | 289/340 | 306/360 | 323/380 | 340/400 | 0.85 |
| 19/20 | 38/40 | 57/60 | 76/80 | 95/100 | 114/120 | 133/140 | 152/160 | 171/180 | 190/200 | 209/220 | 228/240 | 247/260 | 266/280 | 285/300 | 304/320 | 323/340 | 342/360 | 361/380 | 380/400 | 0.95 |
| 1/1 | 2/2 | 3/3 | 4/4 | 5/5 | 6/6 | 7/7 | 8/8 | 9/9 | 10/10 | 11/11 | 12/12 | 13/13 | 14/14 | 15/15 | 16/16 | 17/17 | 18/18 | 19/19 | 20/20 | 1.0 |
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The chart shows all fractions with a denominator up to 20 and a list of fractions equivalent in value.
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