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 equivalent ratios using multiplication?

Back

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

Front

What is the simplest form of a ratio?

Back

The simplest form of a ratio is when the two numbers are reduced to their smallest whole number values. For example, the ratio 4:8 can be simplified to 1:2.

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-multiplying gives the same product. For example, for 2:3 and 8:12, cross-multiplying gives 2*12 = 24 and 3*8 = 24.

Front

If a recipe calls for a ratio of 2:5 of sugar to flour, how much sugar is needed for 15 cups of flour?

Back

To find the amount of sugar needed, set up the ratio: 2/5 = x/15. Cross-multiply to find x: 5x = 30, so x = 6 cups of sugar.

Front

What is the ratio of 4:12 in simplest form?

Back

The simplest form of the ratio 4:12 is 1:3.

Front

If 90 students prefer tacos to pizza in a ratio of 3:2, how many prefer pizza?

Back

If 90 students prefer tacos, then 60 students prefer pizza, as the ratio 3:2 means for every 3 students who prefer tacos, 2 prefer pizza.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, often expressed in the form 'a:b'.

Front

Find one equivalent ratio for 5:8 using multiplication.

Back

One equivalent ratio for 5:8 using multiplication is 15:24, obtained by multiplying both terms by 3.

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, as the ratio 1:2 means for every 1 bass, there are 2 catfish.