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25 May, 12:40

Mike wants to paint his new office with two different colors. If he needs 4 4/5 gallons of red paint and 3 1/10 gallons of brown paint, how much paint does he need in total?

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  1. 25 May, 12:59
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    Answer: 7 9/10 gallons of paint

    Step-by-step explanation:

    Mike needs:

    Red paint: 4 4/5 gallons

    Brown paint: 3 1/10 gallons

    Those are mixed fractions. To facilitate, we need to transform them into Improper fraction (numerator > denominator), so:

    4 4/5 = (5*4+4) / 5 = 24/5

    3 1/10 = (10*3+1) = 31/10

    So, Mike needs:

    Red paint: 4 4/5 gallons = 24/5

    Brown paint: 3 1/10 gallons = 31/10

    To find out how much gallons of paint he needs in total, we need to sum the amounts of red and brown paint:

    24 + 31 = 48 + 31 = 79

    5 10 10 10

    So, he needs 79/10 gallons of paint. To transform into mixed fraction again:

    79/10 = 70/10 + 9/10 = 7 + 9/10

    7 9/10 gallons of paint
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