what is x/3+x/4=1.

## ok whatis x/3+x/4=1

Tutors, please sign in to answer this question.

# 3 Answers

Hi Owen;

x/3+x/4=1

(x/3)+(x/4)=1

(x/3)(4/4)=4x/12

(x/4)(3/3)=3x/12

(4x/12)+(3x/12)=1

7x/12=1

Let's multiply both sides by 12...

(12)(7x/12)=1(12)

7x=12

Let's divide both sides by 7...

(7x)/7=12/7

x=12/7

So we're given X / 3 + X / 4 = 1

Find the LCM of 3 & 4 that would give 12

Now using 12 we divide both side which would give

4x + 3x / 12 = 1

Cross multiply both sides we'd have;

4x + 3x = 12

which then gives

7x = 12

solving for x, we divide both sides by 7;

7x / 7 = 12 / 7

Giving

X = 12 / 7

multiplying both sides of the equation by 12 yields 4x +3x = 12 so 7x=12 and x=12/7