Ratios, Unit rates, percents

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:b'.

Front

How do you write a ratio as a fraction?

Back

To write a ratio as a fraction, you place the first quantity over the second quantity. For example, the ratio 3:4 can be written as 3/4.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

How do you find the percent of a quantity?

Back

To find the percent of a quantity, divide the part by the whole and then multiply by 100. For example, if 30 out of 100 is the part, the percent is (30/100) * 100 = 30%.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, and they represent the same relationship between quantities. For example, a ratio of 2:3 is equivalent to the fraction 2/3.

Front

If the ratio of boys to girls in a class is 2:3 and there are 10 boys, how many girls are there?

Back

If the ratio is 2:3, then for every 2 boys, there are 3 girls. If there are 10 boys, then (10 boys / 2) * 3 = 15 girls.

Front

What is a percent?

Back

A percent is a way of expressing a number as a fraction of 100. It is denoted by the symbol '%'. For example, 50% means 50 out of 100.

Front

How do you convert a fraction to a percent?

Back

To convert a fraction to a percent, divide the numerator by the denominator and then multiply by 100. For example, 1/4 = (1 ÷ 4) * 100 = 25%.

Front

What is the total number of levels in a game if the ratio of levels beaten to not beaten is 3:1 and 24 levels are beaten?

Back

If 24 levels are beaten and the ratio is 3:1, then there are 8 levels not beaten. The total is 24 + 8 = 32 levels.

Front

In a ratio of 4:1, if there are 8 of the second quantity, how many of the first quantity are there?

Back

If the ratio is 4:1 and there are 8 of the second quantity, then there are (8 * 4) = 32 of the first quantity.