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

Are 4 : 5 and 8 : 15 equivalent ratios?

Back

No

Front

How can you find an equivalent ratio using division?

Back

To find an equivalent ratio using division, divide both terms of the ratio by the same non-zero number. For example, for the ratio 15:30, dividing both by 3 gives 5:10.

Front

Find one equivalent ratio for 15 : 30 using division.

Back

5 : 10

Front

How can you find an equivalent ratio using multiplication?

Back

To find an equivalent ratio using multiplication, multiply both terms of the ratio by the same non-zero number. For example, for the ratio 5:8, multiplying both by 3 gives 15:24.

Front

Find one equivalent ratio for 5 : 8 using multiplication.

Back

15 : 24

Front

Are 14 : 18 and 7 : 9 equivalent ratios?

Back

Yes

Front

What is the simplest form of a ratio?

Back

The simplest form of a ratio is when the two numbers are reduced to their smallest whole number values while maintaining the same relationship. For example, the simplest form of 14:18 is 7:9.

Front

Is 10 : 15 an equivalent ratio to 2 : 3?

Back

Yes

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 two quantities. For example, 1:2 and 2:5 are not equivalent.