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

If Mickey has 20 shirts for every 4 ties, what is the ratio of shirts to ties?

Back

The ratio of shirts to ties is 20:4, which simplifies to 5:1.

Front

How do you find an equivalent ratio?

Back

To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number.

Front

What is the simplified form of the ratio 36:21?

Back

The simplified form of the ratio 36:21 is 12:7.

Front

If a ratio is 5:4, what is an equivalent ratio with a numerator of 25?

Back

An equivalent ratio with a numerator of 25 is 25:20.

Front

How can you check if two ratios are equivalent?

Back

To check if two ratios are equivalent, cross-multiply the terms and see if the products are equal.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, and equivalent ratios correspond to equivalent fractions.

Front

If you have a ratio of 3:5, what is the ratio if both terms are multiplied by 2?

Back

If both terms of the ratio 3:5 are multiplied by 2, the new ratio is 6:10.

Front

What is the ratio of 30 shirts to the number of ties if the ratio of shirts to ties is 5:1?

Back

If the ratio of shirts to ties is 5:1, then with 30 shirts, there are 6 ties.

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.