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.

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.

Front

If Joe runs 3 2/5 miles in 7/8 of an hour, how do you find his speed in miles per hour?

Back

Convert 3 2/5 to an improper fraction (17/5) and divide by 7/8. Multiply by the reciprocal of 7/8 to find the speed.

Front

What is the formula to find speed?

Back

Speed = Distance / Time.

Front

If Kyle eats 1/2 of a pie in 1/5 of a minute, how do you find how many pies he can eat in one minute?

Back

Set up a proportion: (1/2 pie) / (1/5 minute) = (x pies) / (1 minute) and solve for x.

Front

What does it mean to find how many yards of fence can be secured with 1 lb of nails?

Back

It means to determine the unit rate of yards of fence per pound of nails used.

Front

If Mr. Adams used 2/3 lbs of nails for 3 1/3 yards of fence, how do you find the yards per pound?

Back

Divide 3 1/3 yards by 2/3 lbs to find the number of yards secured per pound.

Front

How do you convert mixed numbers to improper fractions?

Back

Multiply the whole number by the denominator, add the numerator, and place that over the original denominator.

Front

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

Back

Divide 1 mile by the rate (4/3 miles per 1/10 hour) to find the time for one mile.

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, you can scale up to find total usage.