Ratios, Rates, and Equivalent Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

What is an equivalent ratio?

Back

Equivalent ratios are ratios that express the same relationship between numbers, even if the numbers themselves are different.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF).

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as speed (miles per hour) or price per item.

Front

If the ratio of cats to dogs is 3:4, how many cats are there if there are 12 dogs?

Back

There are 9 cats. (3/4 = x/12; x = 9)

Front

What is the ratio of 18 to 54?

Back

The ratio of 18 to 54 simplifies to 1:3.

Front

How can you find an equivalent ratio to 12:20?

Back

Multiply or divide both terms of the ratio by the same non-zero number. For example, 12:20 is equivalent to 3:5.

Front

What is the missing number in the ratio 6:x = 3:12?

Back

The missing number is 8. (Cross-multiply: 6*12 = 3*x; x = 24/3 = 8)

Front

What is the ratio of red marbles to yellow marbles if there are 2 red and 5 yellow?

Back

The ratio is 2:5.

Front

If a table shows the ratio of 4:8, what are the next two equivalent ratios?

Back

The next two equivalent ratios are 1:2 and 2:4.