Free Printable Ratios Worksheets

Ratio practice for 6th and 7th grade. The first sheet explains what a ratio is, the three ways to write one, and how equivalent ratios and simplest form work. The practice sheets go from pictures to ratio tables to word problems. Every practice sheet has its answer key on the second page.

LessonHow Ratios Work printable preview

How Ratios Work

Grade 6

What a ratio compares, three ways to write it, equivalent ratios in a table, and simplest form.

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Ratios from Pictures printable preview

Ratios from Pictures

Grade 6

Eight sets of dots. Write three ratios for each, including part to whole. Includes answer key.

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Equivalent Ratios: Ratio Tables printable preview

Equivalent Ratios: Ratio Tables

Grade 6

Six ratio tables with missing numbers to fill in. Includes answer key.

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Simplifying Ratios printable preview

Simplifying Ratios

Grades 6–7

Twenty-four ratios to write in simplest form. Includes answer key.

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Ratio Word Problems printable preview

Ratio Word Problems

Grades 6–7

Six problems on recipes, mixtures, rates and parts of a whole. The key shows the working.

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About the Ratios Worksheets

A ratio compares two amounts: 3 green dots to 2 orange dots is the ratio 3 : 2. The same ratio can be written as "3 to 2" or as the fraction 3/2. Order matters, and the pictures sheet asks for each ratio both ways round, plus a part-to-whole ratio, so that habit forms early.

Equivalent ratios are made by multiplying both numbers by the same amount, just like equivalent fractions. A ratio table lines them up in columns, and it is the tool most 6th grade programs use to solve ratio problems before cross-multiplying is taught.

Simplifying runs the other way: divide both numbers by their greatest common factor. The word problems use both ideas, with recipes, paint mixtures, speed and sharing in a given ratio.

Ratios lead straight into percents, which are ratios out of 100. See the percents worksheets next.

Frequently Asked Questions

What is a ratio?
A ratio is a comparison of two quantities. If a recipe uses 2 cups of flour and 3 cups of oats, the ratio of flour to oats is 2 to 3, written 2 : 3 or 2/3.
How do you simplify a ratio?
Divide both numbers by their greatest common factor. For 12 : 18 the greatest common factor is 6, so the simplest form is 2 : 3.
What are equivalent ratios?
Ratios that describe the same comparison. Multiplying or dividing both numbers by the same amount gives an equivalent ratio, so 2 : 3, 4 : 6 and 10 : 15 are all equivalent.
What grade are ratios taught in?
Ratios are introduced in 6th grade and extended to proportional relationships in 7th grade.