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 because they represent the same proportional relationship.

Front

How do you find a missing number in an equivalent ratio?

Back

To find a missing number in an equivalent ratio, you can set up a proportion and cross-multiply to solve for the unknown value.

Front

What is the formula for finding equivalent ratios?

Back

The formula for finding equivalent ratios is a/b = c/d, where a and b are the first ratio, and c and d are the second ratio.

Front

If the ratio is 3:8, what is the equivalent ratio when the second term is 48?

Back

The equivalent ratio is 18:48.

Front

How can you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD).

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 the ratio 12:15, what is the equivalent ratio when the first term is 4?

Back

The equivalent ratio is 4:5.

Front

What is the process to convert a ratio into a fraction?

Back

To convert a ratio into a fraction, write the first term as the numerator and the second term as the denominator.

Front

How do you determine if two ratios are equivalent?

Back

Two ratios are equivalent if their cross products are equal. For example, for ratios a:b and c:d, they are equivalent if a*d = b*c.

Front

What is the equivalent ratio of 7:2 when the first term is 21?

Back

The equivalent ratio is 21:6.