Ratios, Unit Rates, Proportions

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.

Front

How do you express a ratio as a fraction?

Back

To express a ratio as a fraction, write the first quantity as the numerator and the second quantity as the denominator.

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 'per'.

Front

How do you find the unit rate from a total distance and total gallons of gas?

Back

Divide the total distance by the total gallons of gas.

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

Cross-multiply the terms and then solve for the unknown variable.

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

What is the simplest form of the ratio 18 ounces to 3 cups?

Back

The simplest form is 6 to 1.

Front

If you can do 12 math problems in 45 minutes, how long will it take to do 20 math problems?

Back

It will take 75 minutes.

Front

What is the ratio of dimes to the total number of coins if you have 3 pennies, 4 nickels, and 5 dimes?

Back

The ratio is 5:12.