Ratios and Equivalent Ratios

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 write a ratio of two quantities?

Back

To write a ratio, identify the two quantities you want to compare and express them in the form 'a to b' or 'a:b'.

Front

What is an equivalent ratio?

Back

Equivalent ratios are ratios that express the same relationship between two quantities, even if the numbers are different.

Front

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

Back

The equivalent ratio is 4:6.

Front

How can you simplify a ratio?

Back

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

Front

What is the ratio of 4 apples to 2 bananas?

Back

The ratio is 4:2, which can be simplified to 2:1.

Front

In a recipe, if the ratio of flour to sugar is 3:1, how much sugar is needed for 9 cups of flour?

Back

3 cups of sugar are needed.

Front

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

Back

The ratio is 2:3.

Front

If there are 5 red marbles and 10 blue marbles, what is the ratio of red to blue marbles?

Back

The ratio is 5:10, which simplifies to 1:2.

Front

How do you find an unknown value in equivalent ratios?

Back

Set up a proportion using the known ratios and solve for the unknown value.