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 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 15 gives 1:2.

Front

What is the value of the ratio 6:3?

Back

The value of the ratio 6:3 is 2, because 6 divided by 3 equals 2.

Front

How can you express the ratio 1:2 as a fraction?

Back

The ratio 1:2 can be expressed as the fraction 1/2.

Front

What is the equivalent ratio for 2:7?

Back

An equivalent ratio for 2:7 is 14:49, because both terms can be multiplied by 7.

Front

If a ratio is 45:9, what is its simplified form?

Back

The simplified form of the ratio 45:9 is 5:1, because both terms can be divided by 9.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they can be simplified to the same fraction.

Front

How do 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 3:4, multiplying both by 2 gives 6:8.

Front

What is the value of the ratio 9:45?

Back

The value of the ratio 9:45 is 1/5, because 9 divided by 45 equals 1/5.

Front

If the ratio is 3:6, what is its simplest form?

Back

The simplest form of the ratio 3:6 is 1:2, because both terms can be divided by 3.