Ratios, Rates and Unit Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing the relative size of one quantity to another.

Front

How do you express a ratio?

Back

A ratio can be expressed in three ways: using a colon (e.g., 2:3), as a fraction (e.g., 2/3), or with the word 'to' (e.g., 2 to 3).

Front

What is a unit rate?

Back

A unit rate is a rate in which the denominator is 1, indicating how many units of one quantity correspond to one unit of another quantity.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity of interest by the number of units in the denominator.

Front

What is the ratio of votes for yellow to green if yellow has 2 votes and green has 18 votes?

Back

The ratio of votes for yellow to green is 2:18, which can be simplified to 1:9.

Front

What are the three types of ratios?

Back

The three types of ratios are part-to-part, part-to-whole, and whole-to-part.

Front

If Mr. Wright has 7 boys and 9 girls, what is the ratio of girls to boys?

Back

The ratio of girls to boys is 9 to 7.

Front

What does it mean if a ratio is expressed as 1:1?

Back

A ratio of 1:1 means that the two quantities being compared are equal.

Front

What is the significance of simplifying ratios?

Back

Simplifying ratios makes them easier to understand and compare by reducing them to their simplest form.

Front

How can you convert a ratio into a percentage?

Back

To convert a ratio into a percentage, divide the part by the whole and multiply by 100.