Question

Tyler used 1 1/2 gallons of paint to paint 5/7 of a fence. How many gallons will it take to paint the whole fence?

1) Write a multiplication equation representing this question.

2) Write a division equation representing this question.

Explain your reasoning.

Answer 1

9514 1404 393

9514 1404 393

Answer:

1) (1 1/2)(7/5) = g

2) (1 1/2)/(5/7) = g

Explanation:

1) Tyler has painted 5/7 of the 7/7 of the fence. So the total amount of the fence is (7/7)/(5/7) = 7/5 as much as what was already painted.

The total amount of paint needed is then 7/5 the amount already used:

g = (7/5)(1 1/2) . . . . . gallons of paint needed for the whole fence

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2) If g gallons are required for the whole fence, the amount used so far for 5/7 of the fence is 5/7 of the quantity required:

(5/7)g = 1 1/2

g = (1 1/2)/(5/7) . . . . division expression for the paint needed