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28 February, 19:22

How do you do this mathematics problem D-3/5=5/8

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  1. 28 February, 19:30
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    D = 49/40

    Step-by-step explanation:

    Solve for D:

    D - 3/5 = 5/8

    Put each term in D - 3/5 over the common denominator 5: D - 3/5 = (5 D) / 5 - 3/5:

    (5 D) / 5 - 3/5 = 5/8

    (5 D) / 5 - 3/5 = (5 D - 3) / 5:

    (5 D - 3) / 5 = 5/8

    Multiply both sides of (5 D - 3) / 5 = 5/8 by 5:

    (5 (5 D - 3)) / 5 = 5*5/8

    5*5/8 = (5*5) / 8:

    (5 (5 D - 3)) / 5 = (5*5) / 8

    (5 (5 D - 3)) / 5 = 5/5 * (5 D - 3) = 5 D - 3:

    5 D - 3 = (5*5) / 8

    5*5 = 25:

    5 D - 3 = 25/8

    Add 3 to both sides:

    5 D + (3 - 3) = 25/8 + 3

    3 - 3 = 0:

    5 D = 25/8 + 3

    Put 25/8 + 3 over the common denominator 8. 25/8 + 3 = 25/8 + (8*3) / 8:

    5 D = 25/8 + (8*3) / 8

    8*3 = 24:

    5 D = 25/8 + 24/8

    25/8 + 24/8 = (25 + 24) / 8:

    5 D = (25 + 24) / 8

    25 + 24 = 49:

    5 D = 49/8

    Divide both sides by 5:

    D = (49/5) / 8

    8*5 = 40:

    Answer: D = 49/40
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