Posted by **emma** on Monday, November 21, 2011 at 8:31pm.

if 1 is added to both numerator and denominator of a fraction, the fraction becomes 1/2. if 8 is added to both fractions, the fraction becomes 2/3. what is the fraction

- word problem -
**Steve**, Tuesday, November 22, 2011 at 5:31am
If the fraction is a/b

(a+1)/(b+1) = 1/2

(a+8)/(b+8) = 2/3

2a+2 = b+1

(1): 2a - b = -1

3a+24 = 2b + 16

(2): 3a - 2b = -8

subtract 2x#1 from #2

3a - 2b = -8

4a - 2b = -2

-a = -6

a = 6

so, b = 13

Original fraction: 6/13

Check:

(6+1)/(13+1) = 7/14 = 1/2

(6+8)/(13+8) = 14/21 = 2/3

- word problem -
**yasmin a**, Tuesday, November 27, 2012 at 4:30pm
why cant you just add 1\2 and 2\3 and see what you get let s cee 1\2 + 2\3 is 3\5and cant you simplify that in too and that a whole it is 15 okay love yasi26

## Answer This Question

## Related Questions

- word problem - if 1 is added to a numerator and denominator of a fraction, the ...
- algebra - the numerator of a fraction is 5 less than the denominator.if 1 is ...
- Algebra 2 - The Denominator of a fraction exceeds the numerator by 4. When 3 is ...
- Maths - When the numerator and denominator of a fraction are each increased by 5...
- Algebra - When nine is added to both the numerator and the denominator of an ...
- Math-Algebra - The numerator of a fraction is 3 less than the denominator. If 5 ...
- math - A fraction becomes 1/2 when 3 is subtracted from its numerator. If 5 and ...
- 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 denominator of a fraction is one more then the numerator. If 2 were ...

More Related Questions