Ratios, Unit Rates, 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:b'.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'x per 1 unit'.

Front

How do you find a unit rate?

Back

To find a unit rate, divide the numerator by the denominator to express the quantity per one unit.

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 and then divide to find the unknown value.

Front

What is the ratio of bones to frisbees if there are 10 frisbees and 8 bones?

Back

The ratio of bones to frisbees is 8:10, which simplifies to 4:5.

Front

If 3 pounds of hamburger costs $6, what is the cost per pound?

Back

The cost per pound is $2.

Front

Which of the following ratios is NOT equivalent to 3:5? 15:25, 9:15, 21:28, 30:50

Back

21:28 is NOT equivalent to 3:5.

Front

If a recipe calls for a ratio of 2 cups of flour to 3 cups of sugar, how much sugar is needed for 4 cups of flour?

Back

For 4 cups of flour, you need 6 cups of sugar.