Ratios and Proportions

Ratios are one way of comparing amounts of things. Ratios can tell us how much bigger, or smaller, one thing is than another. In other words, ratios show how much of one thing we have in relation to another thing.

What is in the Ratio and Proportions section?

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Direct Proportion

Read real-life examples involving direct proportion.

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Simplifying Ratios

Re-write ratios in simplified form.

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Using Ratios

Explore examples of typical uses of ratio.

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Ratios and Rates

Take a lesson to learn more and practice using ratios.

Example of ratio

In the example below we are trying to get purple paint by mixing cans of red and blue paint.

4 parts blue paint 1 can of blue paint 1 can of blue paint 1 can of blue paint 1 can of blue paint
3 parts red paint 1 can of red paint 1 can of red paint 1 can of red paint
The ratio of blue to red paint is 4:3

Writing ratios

There are three ways that ratios are commonly written:

  1. in words e.g. 4 to 3
  2. with a colon (odds notation) e.g. 4:3
  3. fractional notation e.g. 4/3

Watch the words, numbers, and order in ratios

When writing ratios be careful to write the numbers in the same order as the words (or things) to which they refer.

A ratio of 4:3 is not the same as a ratio of 3:4

Identifying Ratios Worksheets

You will find more ratio and proportion worksheets here.