Equivalent Ratios Calculator
Generate equivalent ratios, simplify ratios, and understand how ratio tables work.
Multiply both terms by the same number n to get an equivalent ratio
Enter a ratio to generate equivalent ratios.
How to use this calculator
Enter a ratio in the form a:b. The calculator generates equivalent ratios by multiplying both terms by 2, 3, 4, and so on.
What this means in math class
Equivalent ratios are the foundation of proportional reasoning. If two ratios are equivalent, they form a proportion.
Worked examples
Example 1: Generate equivalent ratios
Start with 2:3
- Step 1:Multiply by 2: 4:6
- Step 2:Multiply by 3: 6:9
- Step 3:Multiply by 4: 8:12
- Step 4:All are equivalent to 2:3
Example 2: Simplify a ratio
Simplify 12:16
- Step 1:Find the GCF of 12 and 16: 4
- Step 2:Divide both by 4
- Step 3:12÷4 = 3, 16÷4 = 4
Frequently asked questions
What are equivalent ratios?
Ratios that represent the same comparison. Multiply or divide both terms by the same number.
How do you know if ratios are equivalent?
Cross multiply. If a:b = c:d, then a×d = b×c.
What is a ratio table?
A table showing equivalent ratios. Each row is the same ratio multiplied by a different factor.
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