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if 1 is added to both numerator and denominator of a fraction, the fraction becomes 1/2. if 8 is added to both fractions, the fraction becomes 2/3. what is the fraction

  • word problem -

    If the fraction is a/b

    (a+1)/(b+1) = 1/2
    (a+8)/(b+8) = 2/3

    2a+2 = b+1
    (1): 2a - b = -1

    3a+24 = 2b + 16
    (2): 3a - 2b = -8

    subtract 2x#1 from #2

    3a - 2b = -8
    4a - 2b = -2

    -a = -6
    a = 6
    so, b = 13

    Original fraction: 6/13

    Check:
    (6+1)/(13+1) = 7/14 = 1/2
    (6+8)/(13+8) = 14/21 = 2/3

  • word problem -

    why cant you just add 1\2 and 2\3 and see what you get let s cee 1\2 + 2\3 is 3\5and cant you simplify that in too and that a whole it is 15 okay love yasi26

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