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, the ratios 2:3 and 4:6 are equivalent.

Front

How do you find equivalent ratios?

Back

To find equivalent ratios, you can multiply or divide both terms of the ratio by the same non-zero number. For example, to find an equivalent ratio for 3:4, multiply both terms by 2 to get 6:8.

Front

If a ratio is 7:5, how many parts are there in total?

Back

There are 12 parts in total (7 + 5 = 12).

Front

Robby raises Holstein and Jersey cows in a ratio of 7:5. If he has 48 cattle, how many Holstein cows does he have?

Back

Robby has 28 Holstein cows.

Front

What is the first step to solve a problem involving ratios?

Back

The first step is to understand the ratio and the total quantity involved.

Front

Which ratio is equivalent to 5 to 4?

Back

25 to 20 is equivalent to 5 to 4.

Front

A wire is cut in the ratio 9:6. If the wire is 60 inches long, how long is the longer piece?

Back

The longer piece is 36 inches.

Front

What does it mean if two ratios are not equivalent?

Back

If two ratios are not equivalent, it means they do not represent the same relationship between the quantities.

Front

How can you express the ratio 3:4 in different terms?

Back

You can express it as 6:8, which is an equivalent ratio.

Front

What is the relationship between the terms in a ratio?

Back

The terms in a ratio represent a relationship between two quantities, showing how much of one quantity there is compared to another.