Friday

December 19, 2014

December 19, 2014

Posted by **Ghiffari** on Monday, October 24, 2011 at 8:34pm.

ased by 3/20. Find the original fraction. Pls include solution and workings thx :)

- Math -
**Reiny**, Monday, October 24, 2011 at 9:20pmfirst denominator -- x

first numerator ---- x-2

new denominator -- x+3

new numerator ---- x+1

(x-2)/x + 3/20 = (x+1)/(x+3)

times 20x(x+3) , the LCD

20(x+3)(x+1) + 3x(x+3) = 20x(x+1)

expanding and simplifying gave me

x^2 + 3x - 40 = 0

(x-5)(x+8) = 0

x = 5 or x=-8

if x=5, the original fraction was 3/5

if x=-8 the original fraction was -10/-8 or 5/4

check for 3/5 , new fraction would be 6/8 or 3/4

3/5 + 3/20 = 12/20 + 3/20 = 15/20 = 3/4

but for 5/4, new fraction would be 8/7

5/4 + 3/20 = 28/20 = 7/5 ≠ 8/7

BUT, if we take the unsimplified fraction -10/-8 , new fraction would be -7/-5 = 7/5

So the original fraction would be 3/5 for sure, but

also the unsimplified fraction -10/-8

**Answer this Question**

**Related Questions**

Mathematics - The numerator of a fraction is two less than its denominator. When...

math - If both numerator and denominator of a fraction are increased by one, the...

Maths - When the numerator and denominator of a fraction are each increased by 5...

math - The numerator of a fractionis 5 less than twice the denominator. If the ...

math - the sum of numerator and denominator is 3 less than twice the denominator...

math - The denominator of a fraction is 4 more than the numerator. If both the ...

Math - The denominator of a fraction is four more than twice the numerator. If ...

8th grade math - The denominator of a fraction is 4 more than the numerator. If ...

Math - The denominator of a fraction is 4 more than the numerator. If both the ...

MATH - the numerator of a fraction is one-half the denominator! If the numerator...