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 simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common factor (GCF). For example, to simplify the ratio 20:25, divide both by 5 to get 4:5.

Front

What is the ratio of boys to girls if there are 21 boys and 6 girls?

Back

The ratio of boys to girls is 21:6, which simplifies to 7:2.

Front

If a ratio is 9:6, what is its simplest form?

Back

The simplest form of the ratio 9:6 is 3:2.

Front

Are the ratios 10:12 and 5:6 equivalent?

Back

Yes, the ratios 10:12 and 5:6 are equivalent because both simplify to 5:6.

Front

What is the ratio of 15 to 25 in simplest form?

Back

The ratio of 15 to 25 in simplest form is 3:5.

Front

If a wire is cut in the ratio 9:6, how do you find the lengths of the pieces?

Back

To find the lengths, first add the parts of the ratio (9 + 6 = 15). Then, divide the total length by 15 and multiply by each part of the ratio.

Front

What is the relationship between equivalent ratios?

Back

Equivalent ratios represent the same proportional relationship between two quantities, meaning they can be used interchangeably in calculations.

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 ratios a:b and c:d, check if a*d = b*c.

Front

What is the ratio of 15 pairs of socks for $25 to 5 pairs for $15?

Back

The ratio is not equivalent; $25 for 10 pairs is not the same price per pair as $15 for 5 pairs.