Question

Quick math problem.
1/6+1/x=1/4 solve for x?

Answer 1

what /6 = 1/4?

Answer 2

\[\frac{ 1 }{ 6 }+\frac{ 1 }{ x }=\frac{ 1 }{ 4 }\] This is how it should look...

Answer 3

Hey Kitty :)
Fractions are no fun.
I would recommend multiplying both sides of the equation by the LCM of each side.

Hmmm, we have a 6, a 4, and an x.
How bout we multiply both sides by 12x?

Answer 4

So... how exactly would I write that out? I'm horrible at math.. sorry. :/

Answer 5

boobies

Answer 6

\[\Large\rm 12x\left(\frac{ 1 }{ 6 }+\frac{ 1 }{ x }\right)=\left(\frac{ 1 }{ 4 }\right)12x\]So here, we're multiplying each side by 12x.
Every fraction is going to lose a little bit of something, but it will get rid of EVERY denominator, which is what we want.

Answer 7

On the left side, we'll have to distribute the 12x to each term,
\[\Large\rm 12x\cdot\frac{1}{6}\]What happens with the first term?
Do you see how it will simplify?

Answer 8

Will it be 2x ??

Answer 9

Simplifying the 12 and the 6 in the bottom? Good good good.

Answer 10

How bout the other two terms? :)
Wanna give those a shot?

Answer 11

\[\Large\rm 12x\left(\frac{ 1 }{ 6 }+\frac{ 1 }{ x }\right)=\left(\frac{ 1 }{ 4 }\right)12x\]
\[\Large\rm 12x\cdot \frac{1}{6}+12x\cdot\frac{1}{x}=12x\cdot\frac{1}{4}\]
\[\Large\rm 2x+12x\cdot\frac{1}{x}=12x\cdot\frac{1}{4}\]That's where we're at so far.

Answer 12

Okay so \[12x * \frac{ 1 }{ x } = 12? \] and \[ 12x * \frac{ 1 }{ 4 } = 3x?\]

Answer 13

oh

Answer 14

\[\Large\rm 2x+12=3x\]Mmm ok great job! :)
Much easier to solve now, yes?

Answer 15

Yes!! So i just divide 2x from both sides now?

Answer 16

So I can get x on one side..?

Answer 17

Hmm 2x is being ADDED to the left side.
Do the inverse operation.

Inverse of addition is not division! :D

Answer 18

Aha... I subtract 2x from both sides...

Answer 19

cool c:

Answer 20

So then x is equal to 12!

Answer 21

\[\frac{1}{6}+\frac{1}{x}=\frac{1}{4}\]\[\frac{1}{6}-\frac{1}{6}+\frac{1}{x}=\frac{1}{4}-\frac{1}{6}\]\[\frac{1}{x}=\frac{1}{4}-\frac{1}{6}\]\[\frac{1}{x}=\frac{6}{6}\cdot\frac{1}{4}-\frac{4}{4}\cdot\frac{1}{6}\]\[\frac{1}{x}=\frac{6}{24}-\frac{4}{24}\]

Answer 22

Yay good job \c:/
Meow meow kitty meow!

Answer 23

You rock! Thank you so much!!

Answer 24

\[\frac{1}{x}=\frac{6}{24}-\frac{4}{24}\]\[\frac{1}{x}=\frac{2}{24}\]\[\frac{1}{x}=\frac{1}{12}\]\[\frac{1x}{x}=\frac{1x}{12}\]\[1=\frac{x}{12}\]\[12=\frac{12x}{12}\]\[12=x\]

Answer 25

now suck him off