Equivalent Ratios

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. For example, 1:2 and 2:4 are equivalent ratios.

Front

How do you find an equivalent ratio?

Back

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

Front

If the ratio is 3:5, what is an equivalent ratio if we multiply both terms by 2?

Back

6:10 is an equivalent ratio to 3:5 when both terms are multiplied by 2.

Front

What is the first step to solve for an unknown in equivalent ratios?

Back

Set up a proportion by equating the two ratios.

Front

If 4:6 is equivalent to x:12, what is x?

Back

x is 8, because 4/6 = 8/12.

Front

What does it mean if two ratios are not equivalent?

Back

It means that they do not represent the same relationship between the two quantities.

Front

How can you check if two ratios are equivalent?

Back

You can cross-multiply the ratios and see if the products are equal.

Front

What is the ratio of 10 to 15 in simplest form?

Back

The simplest form of the ratio 10:15 is 2:3.

Front

If a recipe calls for a ratio of 2:3 for sugar to flour, how much sugar is needed for 9 cups of flour?

Back

6 cups of sugar are needed, because 2:3 means for every 3 parts of flour, there are 2 parts of sugar.

Front

What is the relationship between equivalent ratios and fractions?

Back

Equivalent ratios can be expressed as equivalent fractions, meaning they represent the same value.