maths

posted by .

the denominator of a rational number is greater than the numerator by 6. if the numerator is decreased by 2 and the denominator is increased by 4 . the rational is 1/5 .Find the rational number.

  • math -

    Let the "rational number" be a/b.
    b = a + 6
    (a-2)/(b+4) = 1/5
    (a-2)/(a +10) = 1/5
    a - 2 = (a/5)+ 2
    4a/5 = 4
    a = 5 b = 11
    The number is 5/11.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra

    Solve Rational Inequalities x^2-x-2/x^2+5x+6<0 I cant figure this out. Please help. numerator (x-2)(x+1) denominator (x+3)(x+2) numerator/denominator <0 which means the numerator and denominator are of opposite signs. Case one: …
  2. algebra 2

    Find the LCD for the following pairs of rational expressions. numerator 8 divided by denominator x negative 13 and numerator 7 divided by denominator x plus 15
  3. maths

    the denominator of a rational number is greater than the numerator by 6. if the numerator is decreased by 2 and the denominator is increased by 4 . the rational is 1/5 .Find the rational number.
  4. maths

    the denominator of a rational number is greater than the numerator by 6. if the numerator is decreased by 2 and the denominator is increased by 4 . the rational is 1/5 .Find the rational number.
  5. com sci

    A rational number is the form of a/b, where a and b are integers with b != 0. Develop and test a class for processing rational numbers. The class should have a numerator data member and a denominator data member. It should read an …
  6. math

    the sum of numerator and denominator is 3 less than twice the denominator.If the numerator and denominator is decreased by 1 , the numerator becomes half the denominator.Find the fraction?
  7. algebra

    i need you to check my answers for the following questions: use the table to answer problems 1 to 4. the table lists the commuting times for 5 people. write each ratio in the form a/b, and then as a decimal. tell whether each decimal …
  8. math

    the denominator of a rational number is greater than its numerator BY 7 if the numerator is increased by 17 and the denominator is deacreased by 6 the new number becomes 2 find the orginal number
  9. maths

    The denominator of rational number is GreaTer than it numerator by 7.if 3subtracted to numerator and 2added to denominator the newnumber become 1/5 find the origina number .
  10. Maths

    The numerator of a rational number is 17 more than its denominator. The numerator of its absolute is 7 more than its denominator. Find the rational number.

More Similar Questions