Rates, Ratios, proportions and percents

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What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as one unit. For example, 24 hours per day is a unit rate.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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, 4/5 = (4 ÷ 5) × 100 = 80%.

Front

What is 50% of 15?

Back

50% of 15 is 7.5.

Tags

CCSS.6.RP.A.3C

Front

What does it mean for a table to be proportional?

Back

A table is proportional if the ratios of the corresponding values are constant. This means that as one quantity increases, the other quantity increases at a consistent rate.

Tags

CCSS.7.RP.A.2A

Front

What is a ratio?

Back

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

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common divisor (GCD). For example, the ratio 8:12 can be simplified to 2:3.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a percent?

Back

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

Front

How do you find a percent of a number?

Back

To find a percent of a number, convert the percent to a decimal and multiply it by the number. For example, to find 20% of 50, calculate 0.20 × 50 = 10.

Tags

CCSS.6.RP.A.3C

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, 1/2 = 2/4 is a proportion.

Tags

CCSS.7.RP.A.2B

Front

How do you solve for a variable in a proportion?

Back

To solve for a variable in a proportion, cross-multiply and then isolate the variable. For example, in the proportion a/b = c/d, you can solve for a by cross-multiplying: a*d = b*c.

Tags

CCSS.7.RP.A.2C