Rates, Ratios and Unit Rates

Front

What is a ratio?

Back

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

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).

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' something (e.g., miles per hour).

Front

If the ratio of A to B is 3:4, what is the equivalent ratio if A is multiplied by 2?

Back

The equivalent ratio would be 6:8.

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.

Front

What is the unit rate if a person earns $120 for 8 hours of work?

Back

The unit rate is $15 per hour.

Front

If a recipe requires 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 do you find an equivalent ratio?

Back

To find an equivalent ratio, multiply or divide both terms of the ratio by the same non-zero number.

Front

What is the ratio of 12 to 16 in simplest form?

Back

The simplest form of the ratio 12 to 16 is 3:4.

Front

If a car travels 150 miles in 3 hours, what is the unit rate in miles per hour?

Back

The unit rate is 50 miles per hour.