Equivalent Fractions Chart
A chart of equivalent fractions for halves to twelfths, with a lookup for any fraction.
Change the values and press Calculate to work out your own figures.
Enter a fraction.
| Multiply by | Fraction | Value |
|---|---|---|
| × 1 | 3/4 | 0.75 |
| × 2 | 6/8 | 0.75 |
| × 3 | 9/12 | 0.75 |
| × 4 | 12/16 | 0.75 |
| × 5 | 15/20 | 0.75 |
| × 6 | 18/24 | 0.75 |
| × 7 | 21/28 | 0.75 |
| × 8 | 24/32 | 0.75 |
| × 9 | 27/36 | 0.75 |
| × 10 | 30/40 | 0.75 |
| × 11 | 33/44 | 0.75 |
| × 12 | 36/48 | 0.75 |
| × 13 | 39/52 | 0.75 |
| × 14 | 42/56 | 0.75 |
| × 15 | 45/60 | 0.75 |
| × 16 | 48/64 | 0.75 |
| × 17 | 51/68 | 0.75 |
| × 18 | 54/72 | 0.75 |
| × 19 | 57/76 | 0.75 |
| × 20 | 60/80 | 0.75 |
Show the working
- Multiply the numerator and denominator by the same whole number
How to use it
Enter a fraction.
Numbers can be whole numbers, decimals (0.75), fractions (3/4), mixed numbers (1 1/2), repeating decimals (0.(3)) and, where a percent is asked for, percentages (75%). Show the working gives each step.
Key facts
a/b = (a × k)/(b × k)
Reading the chart
Each row lists fractions of equal value.
Equivalent fractions chart
| Fraction | × 2 | × 3 | × 4 | × 5 | × 6 |
|---|---|---|---|---|---|
| 1/2 | 2/4 | 3/6 | 4/8 | 5/10 | 6/12 |
| 1/3 | 2/6 | 3/9 | 4/12 | 5/15 | 6/18 |
| 2/3 | 4/6 | 6/9 | 8/12 | 10/15 | 12/18 |
| 1/4 | 2/8 | 3/12 | 4/16 | 5/20 | 6/24 |
| 3/4 | 6/8 | 9/12 | 12/16 | 15/20 | 18/24 |
| 1/5 | 2/10 | 3/15 | 4/20 | 5/25 | 6/30 |
| 2/5 | 4/10 | 6/15 | 8/20 | 10/25 | 12/30 |
| 3/5 | 6/10 | 9/15 | 12/20 | 15/25 | 18/30 |
| 4/5 | 8/10 | 12/15 | 16/20 | 20/25 | 24/30 |
| 1/6 | 2/12 | 3/18 | 4/24 | 5/30 | 6/36 |
| 5/6 | 10/12 | 15/18 | 20/24 | 25/30 | 30/36 |
| 1/7 | 2/14 | 3/21 | 4/28 | 5/35 | 6/42 |
| 2/7 | 4/14 | 6/21 | 8/28 | 10/35 | 12/42 |
| 3/7 | 6/14 | 9/21 | 12/28 | 15/35 | 18/42 |
| 4/7 | 8/14 | 12/21 | 16/28 | 20/35 | 24/42 |
| 5/7 | 10/14 | 15/21 | 20/28 | 25/35 | 30/42 |
| 6/7 | 12/14 | 18/21 | 24/28 | 30/35 | 36/42 |
| 1/8 | 2/16 | 3/24 | 4/32 | 5/40 | 6/48 |
| 3/8 | 6/16 | 9/24 | 12/32 | 15/40 | 18/48 |
| 5/8 | 10/16 | 15/24 | 20/32 | 25/40 | 30/48 |
| 7/8 | 14/16 | 21/24 | 28/32 | 35/40 | 42/48 |
| 1/9 | 2/18 | 3/27 | 4/36 | 5/45 | 6/54 |
| 2/9 | 4/18 | 6/27 | 8/36 | 10/45 | 12/54 |
| 4/9 | 8/18 | 12/27 | 16/36 | 20/45 | 24/54 |
| 5/9 | 10/18 | 15/27 | 20/36 | 25/45 | 30/54 |
| 7/9 | 14/18 | 21/27 | 28/36 | 35/45 | 42/54 |
| 8/9 | 16/18 | 24/27 | 32/36 | 40/45 | 48/54 |
| 1/10 | 2/20 | 3/30 | 4/40 | 5/50 | 6/60 |
| 3/10 | 6/20 | 9/30 | 12/40 | 15/50 | 18/60 |
| 7/10 | 14/20 | 21/30 | 28/40 | 35/50 | 42/60 |
| 9/10 | 18/20 | 27/30 | 36/40 | 45/50 | 54/60 |
| 1/11 | 2/22 | 3/33 | 4/44 | 5/55 | 6/66 |
| 2/11 | 4/22 | 6/33 | 8/44 | 10/55 | 12/66 |
| 3/11 | 6/22 | 9/33 | 12/44 | 15/55 | 18/66 |
| 4/11 | 8/22 | 12/33 | 16/44 | 20/55 | 24/66 |
| 5/11 | 10/22 | 15/33 | 20/44 | 25/55 | 30/66 |
| 6/11 | 12/22 | 18/33 | 24/44 | 30/55 | 36/66 |
| 7/11 | 14/22 | 21/33 | 28/44 | 35/55 | 42/66 |
| 8/11 | 16/22 | 24/33 | 32/44 | 40/55 | 48/66 |
| 9/11 | 18/22 | 27/33 | 36/44 | 45/55 | 54/66 |
| 10/11 | 20/22 | 30/33 | 40/44 | 50/55 | 60/66 |
| 1/12 | 2/24 | 3/36 | 4/48 | 5/60 | 6/72 |
| 5/12 | 10/24 | 15/36 | 20/48 | 25/60 | 30/72 |
| 7/12 | 14/24 | 21/36 | 28/48 | 35/60 | 42/72 |
| 11/12 | 22/24 | 33/36 | 44/48 | 55/60 | 66/72 |
Questions
What equals 3/4?
6/8, 9/12, 12/16 …
What equals 1/2?
2/4, 3/6, 4/8 …
Formulas
a/b = (a × k)/(b × k)
Sources
Limitations
- Numbers have at most 120 digits.