Ratios & Rates

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 in the form 'a:b'.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF) until no further simplification is possible.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as speed (miles per hour) or price (cost per item).

Front

If the ratio of boys to girls in a class is 3:2, how many boys are there if there are 10 girls?

Back

There are 15 boys. (Using the ratio 3:2, if 2 parts represent 10 girls, then 3 parts represent 15 boys.)

Front

What is the unit rate?

Back

The unit rate is a rate in which the second quantity is 1. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you find a missing value in a proportion?

Back

To find a missing value in a proportion, cross-multiply and solve for the unknown value.

Front

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

Back

The simplest form is 3:4.

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 do you convert a ratio to a fraction?

Back

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

Front

What is the ratio of 5 to 15 in simplest form?

Back

The simplest form is 1:3.