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16 August, 00:44

Complete this equation 2 2/3 + 4/5 = 40/? + 12/? = ?/?

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  1. 16 August, 00:47
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    Answer: (7/8 - 4/5) ^2 = 9

    1600

    = 0.005625

    Step-by-step explanation:

    Subtract: 7

    8

    - 4

    5

    = 7 · 5

    8 · 5

    - 4 · 8

    5 · 8

    = 35

    40

    - 32

    40

    = 35 - 32

    40

    = 3

    40

    For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM (8, 5) = 40. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 * 5 = 40. In the next intermediate step the fraction result cannot be further simplified by cancelling.

    In words - seven eighths minus four fifths = three fortieths.

    Exponentiation: the result of step No. 1 ^ 2 = (3

    40

    ) ^ 2 = 32

    402

    = 9

    1600

    In words - three fortieths squared = nine one-thousand six-hundredths.
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