Ratios and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

How do you write a ratio?

Back

Ratios can be written in three ways: using the word 'to' (e.g., 4 to 3), using a colon (e.g., 4:3), or as a fraction (e.g., 4/3).

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal, often written as a/b = c/d.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the unknown variable.

Front

What is the ratio of red apples to green apples if there are 4 red apples and 3 green apples?

Back

4 red apples to 3 green apples.

Front

If Ella has 5 balloons and Taylor has 7 balloons, what is the ratio of Ella's balloons to Taylor's balloons?

Back

5:7.

Front

Patrick has 2 black, 3 red, and 5 white toy cars. What is the ratio of red toy cars to all toy cars?

Back

3:10.

Front

In an animal shelter, the ratio of dogs to cats is 5 to 3. If there are 25 dogs, how many cats are there?

Back

c = 15.

Front

If the ratio of two quantities is 3:4, what does this mean?

Back

It means for every 3 units of the first quantity, there are 4 units of the second quantity.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.