Ratios and Equivalent Ratios

Front

What is a ratio?

Back

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

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between numbers, even if the numbers themselves are different.

Front

How do you find an equivalent ratio using division?

Back

To find an equivalent ratio, divide both terms of the ratio by the same non-zero number.

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 while maintaining the same relationship.

Front

How do you write a ratio as a fraction?

Back

A ratio can be written as a fraction by placing the first quantity over the second quantity.

Front

If the ratio of boys to girls is 2:3, what is the equivalent ratio if there are 10 boys?

Back

The equivalent ratio is 10:15, since 2:3 can be scaled up by multiplying both terms by 5.

Front

What is the ratio of 15 to 30 in simplest form?

Back

The simplest form of the ratio 15:30 is 1:2.

Front

If there are 14 cucumber plants and the ratio of tomatoes to cucumbers is 4:1, how many tomato plants are there?

Back

There are 56 tomato plants.

Front

In a fruit bowl with 4 apples, 2 bananas, and 5 pears, what is the ratio of pears to all fruit?

Back

The ratio of pears to all fruit is 5:11.

Front

How do you simplify the ratio 32:16?

Back

To simplify the ratio 32:16, divide both numbers by their greatest common divisor, which is 16, resulting in 2:1.