Question

fraction help.....

Answer 1

whats the fraction?

Answer 2

The denominator of a fraction is 2 more then its numerator. If the fraction is added to its reciprocal, the sum will be twice the original fraction. What is the original fraction ?

Answer 3

is it multiple choice?

Answer 4

This is what I have..
x/x + 2 <--this is the fraction
x/(x + 2) + (x + 2)/x = 2((x/x+2))
what now ?

Answer 5

it is not multiple choice

Answer 6

@hartnn ...can you help

Answer 7

@tcarroll010 ...can you help

Answer 8

you need to take LCM of denominators,
or in other words, try to make the denominator same....

Answer 9

x(x + 2).....is this the lcd ?

Answer 10

like this :
\(\\ \large \dfrac{☺}{♥}+\dfrac{☻}{♦}=\dfrac{☺♦+☻♥}{♥♦}\)
yes, thats correct! can you write next step ?

Answer 11

not really....I am not good at these

Answer 12

or another easier way to do this is to multiply both sides by LCD = x (x+2)
try this ?

Answer 13

\(\large \dfrac{x}{x+2} \times x(x+2)+\dfrac{x+2}{x} \times x(x+2) = 2 \dfrac{x}{x+2}\times x(x+2)\)
cancel out whichever terms you can.....

Answer 14

got that^ ?

Answer 15

x + x + (x + 2) + (x + 2) = 2x + x .....am I way off ?

Answer 16

how did u get that ?

Answer 17

oops...I meant x * x + (x + 2)(x + 2) = 2x (x)

Answer 18

absolutely correct!

Answer 19

now isn't it much simpler to solve further ?

Answer 20

ok.....so I now have x^2 + x^2 + 4x + 4 = 2x^2
2x^2 + 4x + 4 = 2x^2
do I get everything on one side and set it equal to 0 ?

Answer 21

yes, going good !
notice that 2x^2 gets cancelled...

Answer 22

4x + 4 = 0
4x = -4
x = -1
so is the fraction -1/1 ???

Answer 23

you have taken the numerator = x
x= -1
denominator = x+2 = 1
yes, the fraction is -1/1 , correct :)

Answer 24

thank you so much.....your a lifesaver :)

Answer 25

your welcome ^_^