6.RP.3a Equivalent Ratio Flashcard

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 find an equivalent ratio using multiplication?

Back

To find an equivalent ratio using multiplication, multiply both terms of the original ratio by the same non-zero number. For example, for the ratio 2:3, multiplying both terms by 2 gives 4:6.

Front

How do you find an equivalent ratio using division?

Back

To find an equivalent ratio using division, divide both terms of the original ratio by the same non-zero number. For example, for the ratio 10:15, dividing both terms by 5 gives 2:3.

Front

Are the ratios 2:3 and 8:12 equivalent?

Back

Yes, they are equivalent because both can be simplified to 2:3.

Front

Are the ratios 3:4 and 6:12 equivalent?

Back

No, they are not equivalent because 6:12 simplifies to 1:2, which is different from 3:4.

Front

What is the ratio of 15 to 30?

Back

The ratio of 15 to 30 is 1:2, which can also be expressed as 15:30.

Front

If a ratio is 5:8, what is one equivalent ratio using multiplication?

Back

One equivalent ratio using multiplication is 15:24 (by multiplying both terms by 3).

Front

What is the simplest form of the ratio 10:20?

Back

The simplest form of the ratio 10:20 is 1:2, obtained by dividing both terms by 10.

Front

How can you check if two ratios are equivalent?

Back

You can check if two ratios are equivalent by cross-multiplying. If the cross-products are equal, the ratios are equivalent.

Front

What does it mean if two ratios are not equivalent?

Back

If two ratios are not equivalent, it means they do not represent the same relationship between the two quantities.