Proportional Relationship
Calculator

Ratio Simplifier Calculator

Simplify ratios instantly and learn each reduction step using GCF logic.

a:b = (a÷GCF) : (b÷GCF)

Divide both terms by their greatest common factor

Enter a ratio to simplify it to its lowest terms.

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How to use this calculator

Enter a ratio in the form a:b. The calculator finds the GCF and divides both terms.

What this means in math class

Simplifying ratios is a core 6th-grade skill that carries into proportional reasoning. A simplified ratio shows the relationship in lowest terms.

Worked examples

Example 1: Simplify 12:16

12:16

  1. Step 1:Find GCF of 12 and 16: 4
  2. Step 2:Divide both by 4: 12÷4 = 3, 16÷4 = 4
Answer: 3:4

Example 2: Simplify 18:24

18:24

  1. Step 1:Find GCF of 18 and 24: 6
  2. Step 2:Divide both by 6: 18÷6 = 3, 24÷6 = 4
Answer: 3:4

Frequently asked questions

What does it mean to simplify a ratio?

Divide both terms by their greatest common factor to get the smallest possible whole numbers.

Is 3:4 the same as 6:8?

Yes. They are equivalent ratios. 3:4 is the simplified form of 6:8.

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