Ratios and Proportions Pre-Algebra Ch. 6

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 is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if you travel 330 miles in 6 hours, the unit rate is 330 miles ÷ 6 hours = 55 miles per hour.

Front

What does it mean to solve a proportion?

Back

Solving a proportion means finding the unknown value that makes the two ratios equal.

Front

If 2 buses can carry 64 people, how many people can 1 bus carry?

Back

1 bus can carry 32 people (64 people ÷ 2 buses).

Front

If lions sleep 5 out of every 6 hours, how many hours do they sleep in a day?

Back

Lions sleep 20 hours per day (5/6 of 24 hours = 20 hours).

Front

What is the cross-multiplication method in proportions?

Back

Cross-multiplication involves multiplying the numerator of one ratio by the denominator of the other ratio to find the unknown value.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first quantity as the numerator and the second quantity as the denominator.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, and both represent a comparison of quantities.

Front

If a recipe calls for a ratio of 2:3 of sugar to flour, how much sugar is needed for 6 cups of flour?

Back

To find the amount of sugar needed, set up the proportion: 2/3 = x/6. Solving gives x = 4 cups of sugar.