PLEASE HELP!!! (Algebra)
The ratio of the numerator to the denominator of a fraction is 2 to 3. If both the numerator and the denominator are increased by 2, the fraction becomes 3/4. How do I figure the original fraction?

Question

anonymous · Answer

thank you for coming over! can you help me?

phi · Answer

you could say
$$ \frac{n}{d} =\frac{2}{3} $$
$$ \frac{n+2}{d+2}= \frac{3}{4} $$

anonymous · Answer

yes, so how do i solve for the original fraction?

phi · Answer

do you know how to cross multiply ?

anonymous · Answer

yes. what should i cross multiply?

phi · Answer

first 2 steps:  cross multiply both equations
what do you get ?

anonymous · Answer

in the first one you get 
3n/2d

in the second one you get
4n + 8/3d + 6

phi · Answer

not /   but =
3n= 2d
4n+8= 3d+6

anonymous · Answer

ok

phi · Answer

use the first equation to solve for n
n= (2/3) d

use that for n in the 2nd equation

phi · Answer

can you do the algebra ?

anonymous · Answer

d = 6
n = 4
correct?

phi · Answer

yes the fraction is 4/6

anonymous · Answer

thank you =)

phi · Answer

yw