We created this equivalent fractions calculator that helps identify fractions with equal value but different numerators and denominators using formula a/b = (a × n) / (b × n).
These fractions represent the same portion of a whole, despite having different numbers. For example, 1/2 and 2/4 are equivalent fractions.
Equivalent Fractions Calculator
| Original Fraction | Multiplier | Equivalent Fraction |
|---|---|---|
| 1/2 | 3 | 3/6 |
| 1/2 | 4 | 4/8 |
| 1/2 | 5 | 5/10 |
| 2/5 | 4 | 8/20 |
| 2/5 | 3 | 6/15 |
| 2/5 | 6 | 12/30 |
| 3/7 | 2 | 6/14 |
| 3/7 | 3 | 9/21 |
| 3/7 | 4 | 12/28 |
| 4/9 | 5 | 20/45 |
| 4/9 | 3 | 12/27 |
| 4/9 | 6 | 24/54 |
| 5/6 | 3 | 15/18 |
| 5/6 | 4 | 20/24 |
| 5/6 | 5 | 25/30 |
| 3/4 | 2 | 6/8 |
| 3/4 | 3 | 9/12 |
| 3/4 | 5 | 15/20 |
| 1/3 | 2 | 2/6 |
| 1/3 | 4 | 4/12 |
| 1/3 | 5 | 5/15 |
| 2/3 | 2 | 4/6 |
| 2/3 | 3 | 6/9 |
| 2/3 | 5 | 10/15 |
Equivalent Fractions Formula?
The formula for finding equivalent fractions is:
a/b = (a × n) / (b × n)Where:
- a/b is the original fraction
- n is any non-zero number
By multiplying both the numerator and denominator by the same non-zero number, you create an equivalent fraction.
To find an equivalent fraction for 3/4: 3/4 = (3 × 2) / (4 × 2) = 6/8
To find an equivalent fraction for 2/5: 2/5 = (2 × 3) / (5 × 3) = 6/15
How to find equivalent fractions?
To find equivalent fractions, use formula a/b = (a × n) / (b × n) and:
- Choose a non-zero number to multiply both the numerator and denominator by.
- Multiply the numerator by this number.
- Multiply the denominator by the same number.
- Write the new fraction using the results from steps 2 and 3.
You can also find equivalent fractions by dividing both the numerator and denominator by their greatest common factor (GCF).
To find an equivalent fraction for 8/12:
- Identify the GCF of 8 and 12, which is 4.
- Divide both 8 and 12 by 4:
- 8 ÷ 4 = 2
- 12 ÷ 4 = 3
- The equivalent fraction is 2/3.
What fraction is equivalent to 1/3?
To find fractions equivalent to 1/3, multiply both the numerator and denominator by the same non-zero number:
- 1/3 = (1 × 2) / (3 × 2) = 2/6
- 1/3 = (1 × 3) / (3 × 3) = 3/9
- 1/3 = (1 × 4) / (3 × 4) = 4/12
- 1/3 = (1 × 5) / (3 × 5) = 5/15
All these fractions (2/6, 3/9, 4/12, 5/15) are equivalent to 1/3. They all represent the same portion of a whole, just expressed with different numbers.
What is equivalent to 2/3?
To find fractions equivalent to 2/3, apply the same principle of multiplying both numerator and denominator by the same non-zero number:
- 2/3 = (2 × 2) / (3 × 2) = 4/6
- 2/3 = (2 × 3) / (3 × 3) = 6/9
- 2/3 = (2 × 4) / (3 × 4) = 8/12
- 2/3 = (2 × 5) / (3 × 5) = 10/15
All these fractions (4/6, 6/9, 8/12, 10/15) are equivalent to 2/3. They all represent two-thirds of a whole, just expressed with different numbers.
What is the equivalent fraction of 3/4?
To find fractions equivalent to 3/4, multiply both the numerator and denominator by the same non-zero number:
- 3/4 = (3 × 2) / (4 × 2) = 6/8
- 3/4 = (3 × 3) / (4 × 3) = 9/12
- 3/4 = (3 × 4) / (4 × 4) = 12/16
- 3/4 = (3 × 5) / (4 × 5) = 15/20
All these fractions (6/8, 9/12, 12/16, 15/20) are equivalent to 3/4. They all represent three-quarters of a whole, just expressed with different numbers.
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