math- plz help

The denominator of a fraction is greater than its numerator by 9. If 7 is subtracted from both its numerator and denominator, the new fraction equals 2/3. What is the original fraction?

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
  1. original numerator --- x
    original denominator -- x+9

    new numerator --- x-7
    new denominator --- x+9-7 = x+2

    (x-7)/(x+2) = 2/3
    3x - 21 = 2x + 4
    x = 25

    original fraction = 25/34

    new fraction (take 7 away from both
    = 18/27
    = 2/3
    YEahh

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. Thx u very much!

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  3. Noob

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Respond to this Question

First Name

Your Response

Similar Questions

  1. Mathematics

    The numerator of a fraction is 4 less than its denominator. If both the numerator and the denominator of the fraction are increased by 2, then the resulting fraction is equal to 3/5. What is the fraction? Write an equation that

  2. Algebra 2

    The Denominator of a fraction exceeds the numerator by 4. When 3 is added to both the numerator and denominator, the fraction becomes 4/5. Find the fraction.

  3. algebra

    The denominator of a fraction is 3 more than twice the numerator. If both the numerator and denominator are decreased by 7 and the simplified result is 7/19 find the original fraction

  4. 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.

  1. Math

    The numerator of a fraction is two less than its denominator. When both numerator and denominator are increased by 3, the fraction is incre ased by 3/20. Find the original fraction. Pls include solution and workings thx :)

  2. fraction

    when a fraction is reduced to its lowest term, it is equal to 3/4. The numerator of the fraction when doubled would be 34 greater than the denominator. Find the fraction.

  3. Math

    A fraction greater than 1/8 and less than 1/4 is in simplest form and denominator is 4 more than its numerator...what is the fraction?

  4. Math

    John says that when you compare two fractions with the same numerator,you look at the denominators because the fraction with the greater denominator is greater.is he correct?Explain,and give an example.

  1. Maths

    The numerator of a fraction is 2 less than its denominator. If 3 is substracted from the numerator and from the denominator, the new fraction obtainded is 3/4. Find the fraction

  2. Math

    Which statements about comparing fractions are correct? Select all that apply. A. When two fractions have the same denominator, the fraction with the greater numerator is greater. B. When two fractions have the same numerator, the

  3. math

    the numerator of a fraction is 3 less than the denominator. if 4 us added to the numerator and to the denominator, the resulting fraction is equivalent to 3/4. find the original fraction. Show your solution

  4. MATH

    the numerator of a fraction is one-half the denominator! If the numerator is is increased by 2 and denominator is decreased by 2, the value of the fraction is 2/3. What is the numerator of the original fraction?

View more similar questions or ask a new question.