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 3 gives 5:10.

Front

Are the ratios 6:3 and 3:6 equivalent?

Back

No, they are not equivalent. Equivalent ratios maintain the same relationship, and 6:3 simplifies to 2:1, while 3:6 simplifies to 1:2.

Front

Find one equivalent ratio for 15:35.

Back

3:7 is an equivalent ratio for 15:35.

Front

What is the value of the ratio 6:9?

Back

The value of the ratio 6:9 is 6/9, which simplifies to 2/3.

Front

How can you check if two ratios are equivalent?

Back

To check if two ratios are equivalent, cross-multiply and see if the products are equal. For example, for 14:18 and 7:9, check if 14*9 = 18*7.

Front

What does it mean if two ratios are equivalent?

Back

If two ratios are equivalent, it means they represent the same proportion or relationship between the two quantities.

Front

Give an example of two equivalent ratios.

Back

An example of two equivalent ratios is 4:8 and 1:2.

Front

What is the simplest form of the ratio 12:16?

Back

The simplest form of the ratio 12:16 is 3:4.

Front

If a ratio is 5:10, what is one equivalent ratio?

Back

One equivalent ratio for 5:10 is 1:2.