Question

The town's highway department marks a new world with reflective markers. The road is 6 3/4 miles in length. The markers are spaced every eighth (1/8)
of a mile.

a. Write a division problem to find how many markers are installed.

b. Solve the problem.

c. Explain the answer.

Answer 1

Total length of the road = 6 3/4 miles.

Each markers are spaced at a distance = 1/8 of a mile.

Number of markers could be represented by following division problem:

Total length of the road ÷ each marker space =

a) 6 3/4 ÷ 1/8.

b) In order to solve it, we need to convert that fraction into improper fraction:

6 3/4 = 27/4

6 3/4 ÷ 1/8 = 27/4 ÷ 1/8

We need to convert division sign into multiplication sign and flip the second fraction.

27/4 × 8/1

On simplifying, we get

27  × 2 = 54.

c) There would be total number of 54 markers of lengths (1/8) of a mile.