Ratio and Equivalents

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 as 'a to b' or a:b.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD).

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.

Front

If the ratio of red apples to green apples is 4:3, how many red apples are there if there are 12 green apples?

Back

There are 16 red apples. (4/3 = x/12, so x = 16.)

Front

What is the ratio of chocolate chips to flour in a recipe that uses 3 cups of flour and 2 cups of chocolate chips?

Back

The ratio of chocolate chips to flour is 2:3.

Front

How do you find a missing value in a ratio?

Back

To find a missing value in a ratio, set up a proportion and solve for the unknown value.

Front

What is the ratio of 5 to 4 expressed in equivalent terms?

Back

An equivalent ratio to 5 to 4 is 25 to 20.

Front

If a recipe calls for 2 eggs and 3 cups of flour, how many eggs are needed for 3 batches?

Back

You need 6 eggs for 3 batches.

Front

What does it mean to scale a ratio?

Back

Scaling a ratio means multiplying or dividing both terms of the ratio by the same number to maintain the same relationship.

Front

If the ratio of boys to girls in a class is 3:2, how many girls are there if there are 15 boys?

Back

There are 10 girls. (3/2 = 15/x, so x = 10.)