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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 mu
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.
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Mathematics
4 years
2021-08-10T12:38:24+00:00
2021-08-10T12:38:24+00:00 1 Answers
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Answers ( )
9514 1404 393
9514 1404 393
Answer:
1) (1 1/2)(7/5) = g
2) (1 1/2)/(5/7) = g
Step-by-step 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