Unit Rates with Fractions

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 with fractions?

Back

To calculate a unit rate with fractions, divide the numerator by the denominator of the fraction to find the rate per one unit of the other quantity. For example, if you have 3/4 of a gallon of paint that covers 1/2 of a wall, the unit rate is (3/4) ÷ (1/2) = 3/2 or 1.5 gallons per wall.

Front

What is the formula for finding the unit rate?

Back

The formula for finding the unit rate is: Unit Rate = Total Quantity / Number of Units.

Front

If Lauren bikes 4/3 miles in 1/10 hour, how do you find the time it takes to bike one mile?

Back

To find the time it takes to bike one mile, divide the time by the distance: (1/10 hour) ÷ (4/3 miles) = (1/10) * (3/4) = 3/40 hours.

Front

What is the significance of unit rates in real-life applications?

Back

Unit rates are significant in real-life applications as they help compare different rates, such as speed, cost per item, or efficiency, making it easier to make informed decisions.

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How can you convert a fraction to a unit rate?

Back

To convert a fraction to a unit rate, divide the numerator by the denominator and express the result as a rate per one unit.

Front

What is an example of a unit rate involving money?

Back

An example of a unit rate involving money is if a store sells 3 apples for $1.50, the unit rate is $0.50 per apple.

Front

How do you simplify a fraction to find a unit rate?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD). This helps in finding the unit rate more easily.

Front

What is the relationship between unit rates and ratios?

Back

Unit rates are a specific type of ratio where one of the quantities is normalized to one unit, allowing for easier comparison.

Front

How do you find the unit rate when given a complex fraction?

Back

To find the unit rate from a complex fraction, simplify the fraction first, then divide the numerator by the denominator to express it as a unit rate.