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 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

Are the ratios 24:30 and 4:6 equivalent?

Back

No, they are not equivalent.

Front

What is the simplest form of the ratio 6:3?

Back

The simplest form of the ratio 6:3 is 2:1.

Front

What is the equivalent ratio of 2:7 when multiplied by 7?

Back

The equivalent ratio is 14:49.

Front

What does it mean for a ratio to be in simplest form?

Back

A ratio is in simplest form when the two numbers have no common factors other than 1.

Front

If the ratio of boys to girls in a class is 4:5, what is the equivalent ratio if there are 20 boys?

Back

The equivalent ratio is 20:25.

Front

What is the relationship between the ratios 14:18 and 7:9?

Back

They are equivalent ratios.

Front

How do you simplify the ratio 8:12?

Back

Divide both numbers by their greatest common divisor, which is 4, resulting in 2:3.

Front

What is the ratio of 4:1 expressed as a fraction?

Back

The ratio 4:1 can be expressed as the fraction 4/1.