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 can you find a missing number in an equivalent ratio?

Back

To find a missing number in an equivalent ratio, you can set up a proportion and cross-multiply. For example, if you have 6:5 and 54:x, you can write 6/5 = 54/x and solve for x.

Front

What is the ratio of 3 to 8 expressed in simplest form?

Back

The ratio 3:8 is already in simplest form because there are no common factors other than 1.

Front

How many ways can a ratio be written?

Back

A ratio can be written in three ways: as a fraction (3/4), with a colon (3:4), or with the word 'to' (3 to 4).

Front

What is the ratio of nickels to total coins if you have 3 pennies, 4 nickels, and 5 dimes?

Back

The total number of coins is 3 + 4 + 5 = 12. The ratio of nickels to total coins is 4:12.

Front

If there are 10 girls for every 12 boys, what is the ratio of girls to boys?

Back

The ratio of girls to boys is 10:12, which can be simplified to 5:6.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, 1/2 = 2/4 is a proportion.

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.

Front

What is the relationship between equivalent ratios and fractions?

Back

Equivalent ratios can be expressed as equivalent fractions. For example, the ratio 2:3 is equivalent to the fraction 2/3.

Front

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

Back

The ratio of flour to sugar is 2:3.