Equivalent Fractions
6 min read · Updated September 26, 2026 · by the SolveCalcPro editorial team
Equivalent fractions have different numbers but the same value, like 1/2, 2/4 and 50/100. They are the reason you can add fractions with different denominators, compare fractions fairly and simplify answers. The core idea is simple: multiply or divide the top and bottom by the same number.
Making equivalent fractions
Multiply the numerator and denominator by the same non-zero number. 3/5 × 2/2 = 6/10, and 3/5 × 3/3 = 9/15. You are multiplying by 1, so the value does not change. The equivalent fractions calculator lists as many as you like.
Testing whether two fractions are equal
Cross-multiply. For 3/5 and 9/15: 3 × 15 = 45 and 5 × 9 = 45, so they are equal. For 2/3 and 5/8: 2 × 8 = 16 but 3 × 5 = 15, so they are not.
Finding a missing numerator
To solve 2/7 = x/35, notice that 7 × 5 = 35, so multiply the top by 5 as well: x = 10.
Comparing and ordering fractions
Rewrite the fractions with a common denominator. To compare 3/4 and 5/8: 3/4 = 6/8, so 3/4 is larger. To order 1/2, 2/3 and 3/5, use 30 as the denominator: 15/30, 20/30 and 18/30, giving 1/2 < 3/5 < 2/3.
Simplest form
Divide top and bottom by the greatest common factor to reach the simplest form. 18/24 ÷ 6 = 3/4. See how to simplify fractions.
Practice questions
Test yourself, then tap to check. Answers are calculated by the tools linked below.
- Simplify 12/18 and list equivalents.
Show answer
Simplest form: 2/3
- Add 2/3 + 3/4.
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Simplified fraction: 17/12
- Find the GCF and LCM of 18 and 24.
Show answer
GCF (greatest common factor): 6 · LCM (least common multiple): 72
Frequently asked questions
Are 2/3 and 4/6 equal?
Yes. Multiplying top and bottom of 2/3 by 2 gives 4/6.
Can I add the same number to top and bottom?
No. Only multiplying or dividing both by the same number keeps the value.
How many equivalent fractions does a fraction have?
Infinitely many.
Why does the common denominator help?
Pieces of the same size can be compared or added directly.
Try it yourself
Equivalent Fractions CalculatorList equivalent fractions and find the simplest form of any fraction.Fraction CalculatorAdd, subtract, multiply and divide fractions with simplified and mixed-number answers.
GCF and LCM CalculatorFind the greatest common factor and least common multiple of up to 8 numbers.Keep learning
How to Add and Subtract Fractions7 min readConverting Fractions, Decimals and Percents8 min readHow to Simplify Fractions5 min readWritten and reviewed by the SolveCalcPro editorial team. Spot a mistake? Tell us. See our editorial policy.