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 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 2 gives 10:16.

Front

What is the ratio of 36 to 21 simplified?

Back

The ratio 36:21 simplifies to 12:7.

Front

If a ratio is 5:4, what is an equivalent ratio?

Back

An equivalent ratio to 5:4 is 25:20.

Front

What is the relationship between the ratios 12:20 and 3:5?

Back

The ratios 12:20 and 3:5 are equivalent because they represent the same relationship when simplified.

Front

How can you express the ratio of 3 days of rain to 4 days of no rain?

Back

The ratio of 3 days of rain to 4 days of no rain can be expressed as 3:4.

Front

What is the first step to solve for an unknown in equivalent ratios?

Back

The first step is to set up a proportion, where the two ratios are equal to each other.

Front

If you have the ratio 5:8, what is one way to find an equivalent ratio?

Back

One way to find an equivalent ratio is to multiply both numbers by the same factor, such as 3, resulting in 15:24.

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.

Front

How can you check if two ratios are equivalent?

Back

You can check if two ratios are equivalent by cross-multiplying and comparing the products.