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

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

Back

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

Front

How can you find an equivalent ratio?

Back

To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number.

Front

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

Back

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

Front

If a ratio is 3:8, what is one equivalent ratio?

Back

One equivalent ratio to 3:8 is 6:16.

Front

Are the ratios 18:9 and 4:2 equivalent?

Back

Yes, they are equivalent. Both simplify to 2:1.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same proportion or relationship between the two quantities.

Front

How do you simplify a ratio?

Back

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

Front

What is the ratio of 54:6 simplified?

Back

The ratio 54:6 simplifies to 9:1.

Front

Can you give an example of two equivalent ratios?

Back

Yes, 2:3 and 4:6 are equivalent ratios.