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When a number is added to both the numerator and denominator of a fraction 6/13, its value is 3/5. Find the number?

Science & Mathematics by Anonymous 2018-05-25 12:03:54

Social Science

When a number is added to both the numerator and denominator of a fraction 6/13, its value is 3/5. Find the number?

7 answers

  • Anonymous

    (6+x)/(13+x) = 3/5 cross-multiply denominators 5(6+x) = 3(13+x) 30+5x = 39+3x 2x = 9 x = 4.5

  • Anonymous

    Let x be the number added to the fraction. (6+x)/(13+x) = 3/5 cross multiply 5(6+x) = 3(13+x) 30+5x =39+3x 5x-3x = 39-30 2x=9 x= 9/2 x= 4.5 x = 4 1/2 x=9/2 check: (6+4.5)/(13+4.5) = 10.5 /17.5 = 105/175 = 21/35= 3/5

  • Anonymous

    f = 6/13. (6+x)/(13+x) = 3/5, ie., 5(6+x) = 3(13+x), ie., x(5-3) = 1(39-30), ie., x = 4.5. End of story.

  • Anonymous

    (6 + x) / (13 + x) = 3/5 3x + 39 = 5x + 30 2x = 9 x = 9/2 (6 + 9/2) / (13 + 9/2) = (21/2) / (35/2) = 21 / 35 = 3 / 5

  • Anonymous

    4

  • Anonymous

    5(6+x) = 3(13+x) x = 9/2

  • Anonymous

    (6 + x) / (13 + x) = 3 / 5 5 * (6 + x) = 3 * (13 + x) 30 + 5x = 39 + 3x 5x - 3x = 39 - 30 2x = 9 x = 4.5 (6 + 4.5) / (13 + 4.5) => 10.5 / 17.5 => 21/35 => 3 * 7 / (5 * 7) => 3/5

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