Equivalent fractions of 3/4 all represent three-quarters — the same amount written with different numbers.
3/4 = 6/8 = 9/12 = 12/16 = 15/20 = 75/100
How to find fractions equivalent to 3/4
Multiply the numerator and denominator by the same number:
3/4 × 2/2 = 6/8
3/4 × 3/3 = 9/12
3/4 × 4/4 = 12/16
3/4 × 5/5 = 15/20
A table of equivalents
| Multiply by | Equivalent fraction |
|---|---|
| 2 | 6/8 |
| 3 | 9/12 |
| 4 | 12/16 |
| 5 | 15/20 |
| 10 | 30/40 |
| 25 | 75/100 |
That last one, 75/100, is special — it shows directly that 3/4 = 75%.
Checking equivalence
Cross-multiply: test c/d against 3/4 with 3 × d = 4 × c. For 9/12: 3 × 12 = 36 and 4 × 9 = 36 — equal, so 9/12 = 3/4. ✓
Divide: 3/4 = 3 ÷ 4 = 0.75. Every equivalent fraction divides to 0.75 as well.
Simplifying to 3/4
Divide top and bottom by their greatest common factor. 12/16 → divide by 4 → 3/4. Three-quarters is already in lowest terms (3 and 4 share no factor but 1).
From fraction to percent
Because 4 × 25 = 100, scaling 3/4 to hundredths gives 75/100 = 75% — the full conversion is in 3/4 as a percent and decimal. To convert any fraction with the steps shown, use our percentage calculator. See also what's equivalent to 1/2 and 2/3.
Frequently asked questions
What fractions are equivalent to 3/4?
What is 3/4 equal to as a percent?
How do you make a fraction equivalent to 3/4?
How can you tell if a fraction equals 3/4?
Is 3/4 in its simplest form?
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