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 can you find equivalent ratios using multiplication?

Back

To find equivalent ratios using multiplication, multiply both terms of the ratio by the same non-zero number. For example, for the ratio 2:3, multiplying both terms by 2 gives 4:6, which is equivalent.

Front

How can you find equivalent ratios using division?

Back

To find equivalent ratios using division, divide both terms of the ratio by the same non-zero number. For example, for the ratio 10:15, dividing both terms by 5 gives 2:3, which is equivalent.

Front

What is the ratio of boys to total students if there are 8 boys and 14 girls?

Back

The ratio of boys to total students is 8:22.

Front

Are the ratios 3:4 and 6:12 equivalent?

Back

No, the ratios 3:4 and 6:12 are not equivalent.

Front

Are the ratios 2:3 and 8:12 equivalent?

Back

Yes, the ratios 2:3 and 8:12 are equivalent.

Front

If Mrs. Shelly paid $3 for 6 muffins and Mrs. Kloske paid $9 for 18 muffins, are these ratios equivalent?

Back

Yes, the ratios are equivalent.

Front

What is the first step to determine if two ratios are equivalent?

Back

The first step is to simplify both ratios to their lowest terms and compare them.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

What does it mean to simplify a ratio?

Back

To simplify a ratio means to reduce it to its lowest terms by dividing both terms by their greatest common divisor.