Homework Help: math

Posted by amir on Monday, October 27, 2008 at 9:29pm.

The numerator of a fractionis 5 less than twice the denominator. If the numerator is decreased by 1 and the denominator is increased by 3, the value of the new fraction is 5/4. Find the original fraction.

math - Reiny, Monday, October 27, 2008 at 9:36pm
old denominator --- D
old numerator --- 2D-5

new denomintor D-1
new denom. 2D-5 + 3

so (D-1)/(2D-2) = 5/4

solve
- OOPS again math - Reiny, Monday, October 27, 2008 at 9:44pm
  I seem to be making some silly copying errors tonight
  
  change to :
  
  new denomintor D+3
  new numerator 2D-5 - 1
  
  so (2D-6)/(D+3) = 5/4
  
  solve
  - OOPS again math - amir, Monday, October 27, 2008 at 9:52pm
    Oh now I get it. in the last step
    3D=39
    -----
    3 3
    
    so D=13
    tysm!
    your a genius.
- math - amir, Monday, October 27, 2008 at 9:47pm
  This is my work:
  
  D-1 5
  -----= -- Cross multiply you get:
  2D-2 4 10D-10=4D-4
  -4D -4D
  6D-10=-4
  +10+10
  6D=6
  -----
  6 6
  D=1?
math - jing, Tuesday, November 6, 2012 at 4:04pm
THE DENOMINATOR IS 4 MORE THAN ITS NUMERATOR.IT IS DECREASED FROM NUMERATOR AND 2 IS ADDED TO THE DENOMINATOR,THE RESULTING FRACTION IS 3/4.FIND THE ORIGINAL FRACTION.

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