Equivalent Fractions Generator

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What Are Equivalent Fractions?

Equivalent fractions are different fractions that represent the same value or proportion. They have different numerators and denominators but equal the same amount when simplified or converted to decimals.

For example, 1/2, 2/4, 3/6, and 4/8 are all equivalent fractions because they all represent the same value: one half.

How to Find Equivalent Fractions

1

Multiplication Method

Multiply both the numerator and denominator by the same number to create larger equivalent fractions.

2

Division Method

Divide both the numerator and denominator by their common factors to create simpler equivalent fractions.

3

Simplification Check

Find the greatest common divisor (GCD) to reduce any fraction to its simplest form.

Why Use Equivalent Fractions?

  • Adding and subtracting fractions with different denominators
  • Comparing fractions to determine which is larger
  • Simplifying complex calculations
  • Converting between different measurement units

Real-World Examples

Cooking & Recipes

1/2 cup = 2/4 cup = 4/8 cup - useful when scaling recipes

Time & Schedules

15/60 hour = 1/4 hour = 0.25 hour - quarter of an hour

Money & Finance

25/100 dollar = 1/4 dollar = $0.25 - a quarter

Pro Tip

Need to perform operations with fractions? Use our fraction calculator to add, subtract, multiply, or divide fractions with step-by-step solutions!

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