Ratios and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

How do you write a ratio?

Back

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

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

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

Front

If 5 candy bars cost $3.00, how much will 2 candy bars cost?

Back

$0.60

Front

What is the ratio of Ella's balloons to Taylor's balloons if Ella has 5 and Taylor has 7?

Back

5:7

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

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities.

Front

How can you simplify a ratio?

Back

You can simplify a ratio by dividing both terms by their greatest common divisor.

Front

What is the first step in solving a proportion?

Back

Identify the two ratios that are being compared.