Posted by **Jannie** on Saturday, November 13, 2010 at 4:32pm.

When the numerator and denominator of a fraction are each increased by 5, the

value of the fraction becomes 3/5

When the numerator and denominator of that same

fraction are each decreased by 5, the fraction is then 1/5

Find the original fraction.

(Hint: Let the fraction be p/q) Write in simultaneous equations

- Maths -
**Reiny**, Saturday, November 13, 2010 at 5:03pm
first equation:

(p+5)/(q+5) = 3/5 or

5p + 25 = 3q + 15

5p - 3q = -10

second equation:

(p-5)/(q-5) = 1/5 or

5p - 25 = q - 5

5p - q = 20

solve the two equations by adding them

- Maths -
**lilly**, Thursday, January 26, 2012 at 7:08pm
help me in math trish

- Maths -
**Anonymous**, Friday, November 7, 2014 at 11:31am
The denominator of a rational number is greater than the numerator by 4. If the numerator is increased by 2 and the denominator is decreased by 1, the number becomes 7/8. Find the original rational number.

- Maths -
**Anonymous**, Friday, November 7, 2014 at 11:34am
The denominator of a rational number is greater than the numerator by 4. If the numerator is increased by 2 and the denominator is decreased by 1, the number becomes 7/8. Find the original rational number.

## Answer this Question

## Related Questions

- MATH - the numerator of a fraction is one-half the denominator! If the numerator...
- MATHS - The numerator of a fraction is 4 less than twice the denominator. If ...
- maths - The denominator of a fraction is 4 more than the numerator. If both the ...
- math - The numerator of a fractionis 5 less than twice the denominator. If the ...
- Algebra - The numerator of a certain fraction is 3 times the denominator. If the...
- math - the sum of numerator and denominator is 3 less than twice the denominator...
- Math - pg.3 18.Which, if any of the following statements is always true? A. If ...
- Math-Algebra - The numerator of a fraction is 3 less than the denominator. If 5 ...
- math - If both numerator and denominator of a fraction are increased by one, the...
- Maths - denominator of a fraction is 1 more than its numerator. the fraction ...