Equivalent Ratios and Unit Rates

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, 1:2 and 2:4 are equivalent ratios.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if you drive 200 miles in 4 hours, the unit rate is 200 miles ÷ 4 hours = 50 miles per hour.

Front

What is a unit rate?

Back

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

Front

If Mari works 25 hours and makes $200, what is her hourly wage?

Back

To find the hourly wage, divide the total earnings by the total hours worked: $200 ÷ 25 hours = $8 per hour.

Front

What is the unit rate for 4 bags of rice costing $7.20?

Back

The unit rate is $7.20 ÷ 4 bags = $1.80 per bag.

Front

How do you determine if two ratios are equivalent?

Back

Two ratios are equivalent if they can be simplified to the same fraction or if their cross products are equal.

Front

What is the ratio of 35 to 50 in simplest form?

Back

The simplest form of the ratio 35 to 50 is 7:10.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

How can you express the ratio 10:15 in simplest form?

Back

To simplify the ratio 10:15, divide both numbers by their greatest common divisor, which is 5. The simplest form is 2:3.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first number is the numerator and the second number is the denominator.