Math

posted by Anjana

A denominator of a fraction exceeds the numerator by 1 if 2 is taken from each the sum of the reciprocal of the new fraction and 4 times the original fraction is 5. Find the original fraction

  1. Reiny

    original fraction ---- x/(x+1)

    new fraction = (x-2)/(x-1)

    (x-1)/(x-2) + 4x/(x+1) = 5
    times (x-2)(x+1), the LCD

    (x-1)(x+1) + 4x(x-2) = 5(x-2)(x+1)
    x^2 - 1 + 4x^2 - 8x = 5x^2 - 5x - 10
    3x - 9 = 0
    x = 3

    original fraction is 3/4

    check:
    new fraction = 1/2
    1/(1/2) + 4(3/4)
    = 2 + 3 = 5 , as needed

Respond to this Question

First Name

Your Answer

Similar Questions

  1. Maths

    When the numerator and denominator of a fraction are each increased by 5, the value of the fraction becomes 3/5 When the numerator and denominator of that same fraction are each decreased by 5, the fraction is then 1/5 Find the original …
  2. Algebra

    The numerator of a fraction exceeds the denominator. If 3 is added to the numerator and 9 is subtracted from the denominator, the new fraction is equal to 5/2. Find the original fraction.
  3. Algebra

    The numberator of a fraction exceeds the denominator by 3. If 3 is added to the numerator and 3 is subtracted from the denominator, the resulting fraction is equal to 3/2. Find the original fraction.
  4. Algebra

    When nine is added to both the numerator and the denominator of an original fraction, the new fraction equals six sevenths. When seven is subtracted from both the numerator and the denominator of the original fraction, a third fraction …
  5. algebra

    The denominator of a fraction is 4 less than the numerator .If the denominator is doubled and the numerator is increased by 6,the sum of the original fraction and the new one is 3 .Find the original fraction.
  6. basic algebra

    the numerator of a certain fraction is four less then the denominator, if the numerator is doubled and the denominator is diminished by two, the sum of the original fraction and the new one is three. find the original fraction
  7. rs aggarwal math class 8 chapter 8 soluation

    in a fraction twince the numerator is 2 more than the denominator . if 3 is added to the numerator and to the denominator , the new fraction is 2/3 . find the original fraction.
  8. math

    The denominator of a fraction exceeds the numerator by 1.if 2 be taken from each ,the sum of the reciprocal of the new fraction and 4 times the original fraction is 5 .find the original fraction?
  9. Math

    The denominator of a fraction exceeds the numerator by 7. If 3 is added to the numerator and 1 is subtracted from the denominator, the resulting fraction is equal to 4/5 . Find the original fraction. PLZ SHOW ALL WORK AND HURRY!!!
  10. Math

    If you add the denominator to both the numerator and denominator of a fraction, you get a new fraction that sometimes is larger than the original fraction. Find a fraction where the new fraction is four times as large as the original …

More Similar Questions