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 do you find an equivalent ratio using multiplication?

Back

To find an equivalent ratio using multiplication, multiply both terms of the ratio by the same non-zero number. For example, for the ratio 5:8, multiplying both by 3 gives 15:24.

Front

What is the equivalent ratio of 4:12?

Back

The equivalent ratio of 4:12 is 1:3.

Front

How can you determine if two ratios are equivalent?

Back

Two ratios are equivalent if they can be simplified to the same fraction or if cross-multiplication yields the same product.

Front

Find one equivalent ratio for 3:4 using multiplication.

Back

One equivalent ratio for 3:4 is 6:8 (by multiplying both terms by 2).

Front

If Mason caught 14 catfish and the ratio of bass to catfish is 1:2, how many bass did he catch?

Back

Mason caught 7 bass.

Front

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

Back

Yes, the ratios 2:3 and 8:12 are equivalent.

Front

What is the simplest form of the ratio 8:12?

Back

The simplest form of the ratio 8:12 is 2:3.

Front

If a recipe calls for a ratio of 2:5 for sugar to flour, what is an equivalent ratio if you double the amount of sugar?

Back

An equivalent ratio would be 4:10.

Front

What does it mean to simplify a ratio?

Back

To simplify a ratio means to reduce it to its lowest terms by dividing both terms by their greatest common divisor.