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

Front

How do you find equivalent ratios?

Back

To find equivalent ratios, you can multiply or divide both terms of the ratio by the same non-zero number. For example, to find an equivalent ratio for 3:4, multiply both terms by 2 to get 6:8.

Front

What is the ratio of 4 to 7 expressed as a fraction?

Back

The ratio of 4 to 7 can be expressed as the fraction 4/7.

Front

If a recipe calls for a ratio of 2:5 for sugar to flour, how much sugar is needed for 10 cups of flour?

Back

To find the amount of sugar needed, set up the ratio: 2/5 = x/10. Cross-multiply to find x = 4 cups of sugar.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, and equivalent ratios correspond to equivalent fractions. For example, the ratio 3:4 is equivalent to the fraction 3/4.

Front

How can you represent ratios using a double number line?

Back

A double number line shows two sets of numbers that correspond to each other based on a ratio. For example, for the ratio 1:2, you can mark 1 on one line and 2 on the other, and continue marking equivalent pairs.

Front

What is the ratio of red to blue pens if there are 16 blue pens and 19 red pens?

Back

The ratio of red pens to blue pens is 19:16.

Front

If the ratio of cats to dogs is 3:5, how many dogs are there if there are 12 cats?

Back

To find the number of dogs, set up the ratio: 3/5 = 12/x. Cross-multiply to find x = 20 dogs.

Front

What does it mean if two ratios are not equivalent?

Back

If two ratios are not equivalent, it means they do not express the same relationship between the two quantities. For example, 2:3 and 3:4 are not equivalent.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF). For example, to simplify 8:12, divide both by 4 to get 2:3.