Equivalent Fractions Calculator

What Are Equivalent Fractions?

Equivalent fractions look different but are worth exactly the same amount - they shade the same portion of the bar under the calculator. You have simply cut the whole into more, smaller pieces and taken more of them to match. The rule is simple: multiply (or divide) the top and the bottom by the same number, and the value never changes.

$$\frac{1}{2} = \frac{2}{4} = \frac{3}{6} = \frac{4}{8}$$

The value stays the same because the numerator and denominator are multiplied by the same number.

Worked Examples

Starting fraction	Equivalent fractions
2/3	4/6, 6/9, 8/12
3/5	6/10, 9/15, 12/20
4/7	8/14, 12/21, 16/28

Why Equivalent Fractions Matter

• They help compare fractions.
• They help add and subtract fractions with unlike denominators.
• They help simplify and check fraction answers.

FAQ

How do I make an equivalent fraction?

Multiply the numerator and denominator by the same nonzero number.

Can I divide instead of multiply?

Yes, if both parts divide evenly. That is also how fractions are simplified.