when 2(3/5 x + 2/3 y – 1/4 x -1 1/2 y + 3 )is simplified, what is the resulting expression?

Question

when 2(3/5 x + 2/3 y – 1/4 x -1 1/2 y + 3 )is simplified, what is the resulting expression?

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Thái Dương 5 years 2021-09-03T05:09:24+00:00 1 Answers 46 views 0

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  1. thienthanh
    0
    2021-09-03T05:10:55+00:00
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    Answer:

    Simplifying  the expression: 2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3) we get \mathbf{42x-100y-360}

    Step-by-step explanation:

    We need to simplify the expression: 2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)

    First we will solve terms inside the bracket

    2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)

    Converting mixed fraction 1\frac{1}{2} y into improper fraction, we get: \frac{3}{2}y

    Replacing the term:

    2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-\frac{3}{2}y +3)

    Now, taking LCM of: 5,3,4,2 we get 60

    Now multiply 60 with each term inside the bracket

    2(\frac{3}{5}x\times60+\frac{2}{3}y\times60-\frac{1}{4}x\times60-\frac{3}{2}y\times60 +3\times60)\\2(3x\times12+2y\times20-1x\times15-3x\times30-3\times60)\\2(36x+40y-15x-90y-180)

    Now, combine like terms

    2(36x-15x-90y+40y-180)\\2(21x-50y-180)

    Now, multiply all terms with 2

    42x-100y-360

    So, Simplifying  the expression: 2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3) we get \mathbf{42x-100y-360}

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