Equivalent Fractions Chart lists fractions that represent the same value, even though they have different numerators and denominators. Equivalent fractions are helpful in simplifying fractions, comparing values, and performing operations like addition and subtraction with fractions.
Here’s a table with common equivalent fractions:
| Base Fraction | Equivalent Fractions |
|---|---|
| 1/2 | 2/4, 3/6, 4/8, 5/10, 6/12, 7/14, 8/16, 9/18, 10/20, 20/40, 50/100 |
| 1/3 | 2/6, 3/9, 4/12, 5/15, 6/18, 7/21, 8/24, 9/27, 10/30, 20/60, 30/90 |
| 1/4 | 2/8, 3/12, 4/16, 5/20, 6/24, 7/28, 8/32, 9/36, 10/40, 20/80, 25/100 |
| 1/5 | 2/10, 3/15, 4/20, 5/25, 6/30, 7/35, 8/40, 9/45, 10/50, 20/100 |
| 1/6 | 2/12, 3/18, 4/24, 5/30, 6/36, 7/42, 8/48, 9/54, 10/60, 20/120 |
| 1/8 | 2/16, 3/24, 4/32, 5/40, 6/48, 7/56, 8/64, 9/72, 10/80, 20/160 |
| 1/10 | 2/20, 3/30, 4/40, 5/50, 6/60, 7/70, 8/80, 9/90, 10/100 |
| 1/12 | 2/24, 3/36, 4/48, 5/60, 6/72, 7/84, 8/96, 9/108, 10/120 |
| 2/3 | 4/6, 6/9, 8/12, 10/15, 12/18, 14/21, 16/24, 18/27, 20/30 |
| 3/4 | 6/8, 9/12, 12/16, 15/20, 18/24, 21/28, 24/32, 27/36, 30/40 |
| 3/5 | 6/10, 9/15, 12/20, 15/25, 18/30, 21/35, 24/40, 27/45, 30/50 |
| 4/5 | 8/10, 12/15, 16/20, 20/25, 24/30, 28/35, 32/40, 36/45, 40/50 |
| 5/6 | 10/12, 15/18, 20/24, 25/30, 30/36, 35/42, 40/48, 45/54, 50/60 |
| 5/8 | 10/16, 15/24, 20/32, 25/40, 30/48, 35/56, 40/64, 45/72, 50/80 |
| 7/8 | 14/16, 21/24, 28/32, 35/40, 42/48, 49/56, 56/64, 63/72, 70/80 |
| 3/2 | 6/4, 9/6, 12/8, 15/10, 18/12, 21/14, 24/16, 27/18, 30/20 |
| 5/4 | 10/8, 15/12, 20/16, 25/20, 30/24, 35/28, 40/32, 45/36, 50/40 |
| 7/4 | 14/8, 21/12, 28/16, 35/20, 42/24, 49/28, 56/32, 63/36, 70/40 |
| 9/4 | 18/8, 27/12, 36/16, 45/20, 54/24, 63/28, 72/32, 81/36, 90/40 |
| 11/4 | 22/8, 33/12, 44/16, 55/20, 66/24, 77/28, 88/32, 99/36, 110/40 |