Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Matt71

  • 2 years ago

The numerator of an improper fraction is 4 more than the denominator. When the numerator is decreased by 3 and the denominator is decreased by 1, the fraction is decreased by 3/10. Find the original improper fraction.

  • This Question is Closed
  1. FoolAroundMath
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Let the denominator of original fraction be x numerator of original fraction = x+4 new numerator = (x+4)-3 = x+1 new denominator = x-1 new fraction = original fraction - 3/10 \[\frac{x+1}{x-1} = \frac{x+4}{x} - \frac{3}{10}\] can you solve this now?

  2. Matt71
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thanks

  3. robtobey
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Let the following be the original improper fraction:\[\frac{x+4}{x} \]Solve the following for x:\[\frac{x+4-3}{x-1}\text{=}\frac{x+4}{x}-\frac{3}{10}\]\[\left\{x=\frac{8}{3},x=5\right\} \]Calculate the value of the original fraction when x=8/3\[\frac{4+x}{x}\text{=}\frac{4+\frac{8}{3}}{\frac{8}{3}}\text{=}\frac{5}{2}\]and x = 5\[\frac{4+5}{5}=\frac{9}{5} \]Assume that the answer is \[\frac{9}{5} \]and verify it's validity:\[\frac{9}{5}-\frac{3}{10}\text{ = }\frac{9-3}{5-1}\]\[\frac{3}{2}\text{ = }\frac{3}{2}\]Although 5/2 is another solution to the equation, it will not pass the validity test.

  4. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.