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 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

What is the ratio of 6 red dots to 3 green dots?

Back

The ratio of red dots to green dots is 6:3, which simplifies to 2:1.

Front

If the ratio of green dots to orange dots is 3:5, how many green dots are there if there are 15 orange dots?

Back

If the ratio is 3:5, then for every 3 green dots, there are 5 orange dots. If there are 15 orange dots, then there are 9 green dots (3/5 = x/15, x = 9).

Front

Which ratio is equivalent to 5 to 4?

Back

25 to 20 is equivalent to 5 to 4.

Front

What is the simplest form of the ratio 12:20?

Back

The simplest form of the ratio 12:20 is 3:5.

Front

What number should go in the blank to make the ratios equivalent? 7 : 2 and 21 : ___

Back

6 should go in the blank to make the ratios equivalent.

Front

Which ratio is equivalent to 3:4?

Back

6:8 is equivalent to 3:4.

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same proportional relationship between two quantities.

Front

How can you check if two ratios are equivalent?

Back

You can check if two ratios are equivalent by cross-multiplying. If the cross-products are equal, the ratios are equivalent.