Math 102

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What number must be added to the numerator and subtracted from the denominator of 10/23 to obtain a fraction equivalent of 6/5? Please provide step by step, this is a word problem for rational expressions. Thank you

  • Math 102 -

    So you want

    (10+x)/(23-x) = 6/5
    cross-multiply
    5(10+x) = 6(23-x)
    50 + 5x = 138 - 6x
    11x = 88
    x = 8

    the number is 8

    check"
    (10+8)/(23-8)
    = 18/15
    = 6/5

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