Unit Rates with Fractions

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something, such as miles per hour or price per item.

Front

How do you calculate a unit rate from a fraction?

Back

To calculate a unit rate from a fraction, divide the numerator by the denominator to find the value of the fraction, then express it as a rate per one unit.

Front

What is the unit rate of 17/22 gallons?

Back

The unit rate of 17/22 gallons is approximately 0.7727 gallons per unit.

Front

If a turtle takes 3 ¼ hours to walk 1 ½ miles, how do you find the time it takes to walk one mile?

Back

To find the time to walk one mile, divide the total time (3 ¼ hours) by the distance (1 ½ miles). This gives you the time per mile.

Front

What is the improper fraction for 3 ¼ hours?

Back

The improper fraction for 3 ¼ hours is 13/4 hours.

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that sum over the original denominator.

Front

What is the unit rate of 16/19 km?

Back

The unit rate of 16/19 km is approximately 0.8421 km per unit.

Front

In the recipe, if 2/3 cup of white sugar is used for every ¾ cup of brown sugar, how do you find the amount of brown sugar for 1 cup of white sugar?

Back

To find the amount of brown sugar for 1 cup of white sugar, set up a proportion: (2/3) / (3/4) = (1) / (x), and solve for x.

Front

What is the solution to the proportion (2/3) / (3/4) = (1) / (x)?

Back

The solution to the proportion is x = 9/8 cups of brown sugar.

Front

What is a proportion?

Back

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