Problem 357

Problem 357

Identify which of the following situations can be represented by 4 ÷ \frac{3}{4}, and explain your reasoning:

a. Sue had \frac{3}{4} of a room to paint in 4 hours. How much of the room must she paint each hour to finish on time?

b. Kendra has 4 yards of electrical wiring to use in setting up her science fair experiment. She needs to cut it into lengths of \frac{3}{4} yard. How many pieces will she be able to make from the 4 yards?

c. A rotating video camera in the parking garage goes through 4 complete rotations in \frac{3}{4} hour. How many rotations will it make in 1 hour?

d. In a local farmer’ market, \frac{3}{4} of the profits are cycled bank into the local framing community. If you spend $4 there, how much of your money goes to local farmers?

 

Solution

 

b. This situation can be represented by 4 ÷¾. The number of pieces she’ll be able to make from the 4 yards is 4 ÷ ¾ = 16/3 = 5 1/3. She will have 5 pieces of ¾ of a yard, and a smaller piece of 1/4 of a yard.

 

c.   This situation can be represented by 4÷¾. In one hour, the number of rotations will be:

4  ÷ ¾ = 16/3 = 5 1/3. This is, the camera can give 5 1/3 rotations in 1 hour.

 

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