Unit Rates with Fractions

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity per one unit of another quantity.

Front

How do you calculate a unit rate with fractions?

Back

To calculate a unit rate with fractions, divide the first quantity (numerator) by the second quantity (denominator) and simplify the result.

Front

If Tony walked 3 1/2 miles in 7/8 of an hour, how do you find out how many miles he can walk in one hour?

Back

To find the miles per hour, divide 3 1/2 by 7/8. Convert 3 1/2 to an improper fraction (7/2) and multiply by the reciprocal of 7/8 (8/7). The result is 4 miles.

Front

What is the relationship between time and battery usage in Jade's phone example?

Back

The relationship is a direct proportion; if 1/2 hour uses 1/9 of the battery, then the total time to use the entire battery can be found by scaling up.

Front

How do you convert a fraction to a mixed number?

Back

To convert a fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator over the original denominator.

Front

What is the formula to find the rate of work done, like mowing grass?

Back

The rate of work done can be calculated using the formula: Rate = Work Done / Time Taken.

Front

If Sasha mows 3/8 of an acre in 3/4 of an hour, how do you find her mowing rate?

Back

To find her mowing rate, divide 3/8 by 3/4. This simplifies to 1/2 acre per hour.

Front

How do you find the total amount needed for a recipe when given a fraction of the batch?

Back

To find the total amount needed, set up a proportion based on the amount used for the fraction of the batch and solve for the full batch.

Front

What is the significance of using mixed numbers in measurements?

Back

Mixed numbers are used in measurements to express quantities that are greater than one while still showing the fractional part clearly.

Front

How do you express a rate in gallons per minute from a given time and amount?

Back

To express a rate in gallons per minute, divide the amount of gallons by the time in minutes.