Unit Rates & Equivalent Ratios

Front

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, if you travel 60 miles in 2 hours, the unit rate is 30 miles per hour.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD). For example, to simplify the ratio 20 to 25, divide both by 5 to get 4 to 5.

Front

What is an equivalent ratio?

Back

Equivalent ratios are ratios that express the same relationship between two quantities. For example, the ratios 1:2, 2:4, and 3:6 are equivalent.

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 to 3.

Front

How do you find a missing number in a ratio?

Back

To find a missing number in a ratio, set up a proportion and solve for the unknown. For example, if the ratio is 2:x = 4:8, then x = 4.

Front

What is the unit rate of 120 customers in 8 hours?

Back

The unit rate is 15 customers per hour.

Front

If you spend $40 on 5 pounds of concrete, what is the unit rate in dollars per pound?

Back

The unit rate is $8 per pound.

Front

What is the unit rate if you buy 3 pounds of granola for $3.75?

Back

The unit rate is $1.25 per pound.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first term as the numerator and the second term as the denominator. For example, the ratio 3 to 4 can be written as the fraction 3/4.

Front

What is the greatest common divisor (GCD)?

Back

The GCD is the largest number that divides two or more numbers without leaving a remainder. For example, the GCD of 8 and 12 is 4.