Ratios and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a:b = c:d, then a, b, c, and d are in proportion.

Front

If there are 5 ice cream cones for every 3 brownies, how many ice cream cones are sold if 24 brownies are sold?

Back

40 ice cream cones.

Front

What is the unit rate of 30 cm of snow in 6 hours?

Back

5 cm of snow per hour.

Front

What is the unit rate if Will spent $3.75 for 3 pounds of granola?

Back

$1.25 per pound.

Front

How do you find a unit rate?

Back

To find a unit rate, divide the first quantity by the second quantity to determine how much of the first quantity corresponds to one unit of the second quantity.

Front

What is the ratio of red apples to green apples if there are 4 red apples and 3 green apples?

Back

4 red apples to 3 green apples.

Front

If Hilbert burns 120 calories in 30 minutes, how many calories does he burn in 10 minutes?

Back

40 calories.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Front

How can you simplify a ratio?

Back

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