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 used are different.

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

What is the value of the ratio 6:9?

Back

The value of the ratio 6:9 is 6/9, which simplifies to 2/3.

Front

Are the ratios 14:18 and 7:9 equivalent?

Back

Yes, they are equivalent because both simplify to the same value (7/9).

Front

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

Back

No, they are not equivalent because 24:30 simplifies to 4:5, while 4:6 simplifies to 2:3.

Front

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

Back

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

Front

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

Back

No, they are not equivalent because 6:3 simplifies to 2:1, while 3:6 simplifies to 1:2.

Front

What is one equivalent ratio to 54:6?

Back

One equivalent ratio to 54:6 is 9:1.

Front

How do 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, where the first term is the numerator and the second term is the denominator.