Ratios and Unit Rates

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:b'.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity by the number of units. For example, if 4 pounds of bananas cost $6, the unit rate is $6 ÷ 4 = $1.50 per pound.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they can be simplified to the same fraction.

Front

What is the unit rate of 510 miles in 8.5 hours?

Back

The unit rate is 510 miles ÷ 8.5 hours = 60 miles per hour.

Front

How do you reduce a fraction to its lowest terms?

Back

To reduce a fraction, divide the numerator and the denominator by their greatest common divisor (GCD). For example, 18/24 reduces to 3/4.

Front

What is the ratio of stars to circles if there are 11 stars and 5 circles?

Back

The ratio of stars to circles is 11:5 or stars/circles = 11/5.

Front

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

Back

If the ratio is 2:3, then for 6 cups of flour, you need (2/3) * 6 = 4 cups of sugar.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal, such as a/b = c/d.

Front

How can you check if two ratios are equivalent?

Back

You can cross-multiply to check if two ratios are equivalent. If a/b = c/d, then a*d = b*c.

Front

What is the unit rate of 120 miles in 2 hours?

Back

The unit rate is 120 miles ÷ 2 hours = 60 miles per hour.