Question

x/3+x/4=1

Answer 1

multiply both sides by 12 to clear the fraction
then divide both sides by 7

Answer 2

i dont understand i see were you got 12 but where did you get 7?

Answer 3

you will see where i got it when you multiply both sides by 12

Answer 4

hint, what is \(3+4\)?

Answer 5

\(12(\frac{x}{4}+\frac{x}{3})=12\times 1\)
\[3x+4x=12\] etc

Answer 6

\(\frac{x}{3} + \frac{x}{4} = \frac{4}{4}\)
\(\frac{x}{3} = \frac{4}{4} - \frac{x}{4}\)
\(\frac{x}{3} = \frac{4-x}{4}\)
4x = 3(4-x)
4x = 12 - 3x
7x = 12

Finish the rest

Answer 7

okay thank you both I get it now

Answer 8

My method is easier

Answer 9

could be, but not for me
i think easier is in the eye of the beholder
we could count steps maybe

Answer 10

The steps are irrelevant. I only included all of them for demonstration purposes.

Answer 11

in one sense they are because you can probably do this in your head, so in your mind and mine maybe no steps are required
but you have to do some thinking and that counts as steps

Answer 12

here is what i was thinking
"least common multiple of 3 and 4 is 12
if i multiply both sides by 12 i get 3 + 4 = 7 x on the left, and 12 on the right
now to get x i must divide by 7"

Answer 13

You assume everyone would know how to find an LCM. For more difficult problems, finding an LCM would get difficult. My version offers an alternative to finding an LCM.

Answer 14

i agree that your version works, i will leave it to others to decide what is "easiest"