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 1:2 and 2:4 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, if you have the ratio 2:3, multiplying both terms by 2 gives you 4:6, which is equivalent.

Front

What is the ratio of boys to girls if there are 13 boys and 10 girls?

Back

The ratio of boys to girls is 13:10.

Front

If an ostrich runs 50 miles in 60 minutes, how long will it take to run 15 miles?

Back

It will take 18 minutes to run 15 miles.

Front

What is the ratio of red toy cars to all toy cars if Patrick has 2 black, 3 red, and 5 white toy cars?

Back

The ratio of red toy cars to all toy cars is 3:10.

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 can you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD). For example, the ratio 8:12 can be simplified to 2:3 by dividing both terms by 4.

Front

What does it mean if two ratios are equivalent?

Back

If two ratios are equivalent, it means they represent the same relationship between the quantities, even if the numbers are different.

Front

Calculate b if the ratio is 2:3 and a is 44.

Back

b = 66.

Front

Calculate a if the ratio is 3:2 and b is 6.

Back

a = 9.