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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Dâu 4 years 2021-08-10T12:38:24+00:00 1 Answers 4 views 0

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    2021-08-10T12:39:25+00:00

    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

    __

    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

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