Free Printable Ratios Worksheets

Ratios practice worksheets for 6th and 7th grade. Equivalent ratios, simplifying ratios, and mixed practice. Answer keys included. Fresh problems every download.

About Our Ratios Worksheets

Ratios describe the relationship between two quantities — 3 : 4 means “3 for every 4.” Understanding ratios is the gateway to proportional reasoning, which underpins everything from unit rates and percentages to similar figures and slope. Our worksheets cover the two core skills: finding equivalent ratios (3:4 = ___:8) and simplifying ratios to lowest terms.

All problems use whole numbers and produce whole-number answers. Equivalent ratio problems are set up like proportion equations so students can see the multiplicative relationship directly. Simplifying ratio problems use composite numbers with small GCFs (greatest common factors) so students practice the skill without getting bogged down in large-number factoring. Answer keys included.

Frequently Asked Questions

What is a ratio?
A ratio is a comparison of two quantities. It can be written three ways: 3 to 4, 3:4, or 3/4. Ratios do not have units — they compare how much of one thing there is relative to another. For example, if a recipe uses 3 cups of flour and 4 cups of sugar, the ratio of flour to sugar is 3:4.
How do you find an equivalent ratio?
Multiply or divide both terms of the ratio by the same number. For example, 3:4 is equivalent to 6:8 (multiply both by 2) and to 9:12 (multiply both by 3). This is the same concept as equivalent fractions — the relationship between the quantities stays the same even though the numbers change.
How do you simplify a ratio?
Find the GCF (greatest common factor) of both terms and divide both by it. For example, to simplify 6:9: the GCF of 6 and 9 is 3, so 6÷3 = 2 and 9÷3 = 3, giving 2:3. A ratio is fully simplified (in lowest terms) when the GCF of its terms is 1.