what is unit rate per hour for 42 1/3 miles in 1 1/3 hours

Question

full question: Graham drove 42 and one third42
1
3 miles in 1 and one third1
1
3 hours. What is the unit rate for miles per hour? Use pencil and paper. Describe a situation in which the unit rate would be easier to work with than the given rate.

Answer 1

Convert each piece of data to an improper fraction.

you have 127/3 miles in 4/3 hours.

The unit rate, mi/hr, is therefore 127 thirds divided by 4 thirds.

Amazingly, this is just 127/4, which is 31 and ¾ mi/hr.

 

Why? (127/3) / (4/3) is equal to 127/3 • 3/4 and the threes cancel, giving 127/4.

Remember: to divide a quantity by a fraction, multiply that quantity by the reciprocal (of divisor).

Answer 2

To find the unit rate, we divide the distance by the time. Remember how to divide fractions?

 

127/3 ÷ 4/3 = 127/3 x 3/4 = 127/4 = 31 3/4 mph

Answer 3

To find the unit rate that Graham was driving, divide the miles they drove by the time the drove:

 

unit rate= (43 1/3 miles)/ (1 1/3 hours)

unit rate= 33 miles per hour