Unit Rate Flashcard

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the first quantity by the second quantity. For example, if you have 10 apples for $5, the unit rate is $5 ÷ 10 apples = $0.50 per apple.

Front

What is the unit rate of Kyle who eats 1/2 of a pie in 1/5 of a minute?

Back

Kyle can eat 2 and 1/2 pies per minute.

Front

If a painter uses 1 1/2 gallons of paint for 3/4 of a room, how do you find the total gallons needed for the whole room?

Back

To find the total gallons needed, set up a proportion: (1 1/2 gallons)/(3/4 room) = x gallons/(1 room). Solve for x to find that it takes 2 gallons.

Front

What is a complex fraction?

Back

A complex fraction is a fraction where the numerator, the denominator, or both contain fractions. For example, (1/2)/(3/4) is a complex fraction.

Front

How do you simplify a complex fraction?

Back

To simplify a complex fraction, multiply the numerator and the denominator by the least common denominator (LCD) of the fractions involved.

Front

What is the unit rate of Jade who uses 1/9 of her battery in 1/2 of an hour?

Back

Jade would have to play for 4-1/2 hours to use the entire battery.

Front

What is the solution to the complex fraction 1/2 divided by 3/4?

Back

The solution is 2/3.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.

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 result over the original denominator.