Ratios 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 are equivalent ratios?

Back

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

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.

Front

If the ratio of apples to oranges is 2:3, what is the equivalent ratio if we multiply both terms by 2?

Back

The equivalent ratio is 4:6.

Front

What is the ratio of 10 to 25 in simplest form?

Back

The simplest form of the ratio 10:25 is 2:5.

Front

How can you represent a ratio using a fraction?

Back

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

Front

If a recipe calls for 2 cups of flour and 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

What is the relationship between ratios and proportions?

Back

A proportion states that two ratios are equal, while a ratio simply compares two quantities.

Front

If 1:2 is equivalent to 2:4, what is the missing term in the ratio 3:x?

Back

The missing term x is 6, making the ratio 3:6 equivalent to 1:2.

Front

How do you solve for an unknown in a ratio?

Back

To solve for an unknown in a ratio, set up a proportion and cross-multiply to find the missing value.