Solve and check this equation.?

Question

x + 1 / 6 = 4/3
please explain the process.

Answer 1

x + 1/6 = 4/3

Transpose 1/6

x + 1/6 - 1/6 = 4/3 - 1/2

x = 4/3 - 1/6

x = 8/6 - 1/6

Subtract

x = 7/6

- - - - - - - -s-

Answer 2

Hey there!

Here's the answer.

x+1/6=4/3 --> Write the problem.
x+1/6=8/6 --> Change the denominator of the right side of the equation from 3 to 6.
x=7/6 --> Subtract 1/6 on both sides of the equation.

Here's the check -->
7/6+1/6=4/3 -->
8/6=4/3 -->
4/3=4/3, true.

So the answer is x=7/6.

Hope it helps!

Answer 3

Multiply both sides by 6. You should get 6x+1=4x2, then you should get 6x+1=8. Subtract both sides by 1 and you should get 6x=7. Then divide both sides by 6 and you should get x=7/6. to check your answer, replace x with 7/6 and see if 7/6+1/6 is 4/3. Since 7/6+1/6 is 8/6, the answer is right because 8/6=4/3.

Answer 4

you want to have only x on one side, and only numbers on the other. so let's start by putting the 1/6 to the other side by subtracting it from both sides -- you have to do the same thing to both sides all the time.

x + 1/6 - 1/6 = 4/3 - 1/6
x = 4/3 - 1/6

now you're trying to subtract 1/6 from 4/3. you'll want to have them on a common denominator. 4/3 is equal to 8/6 -- multiply both the bottom and the top of 4/3 by 2, see? so the equation becomes:

x = 4/3 - 1/6
x = 8/6 - 1/6
x = 7/6

now you have a value for x: 7/6. to check your answer, plug in that value in the original equation everytime you see an x. so:

x + 1/6 = 4/3
7/6 + 1/6 = 4/3
8/6 = 4/3
simplify 8/6 by dividing top and bottom of fraction by two:
4/3 = 4/3
so you had the right answer:
x=7/6

good luck!

Answer 5

x +1/6 = 4/3 the problem
-1/6 -1/6 isolate x
x = 4/3 - 1/6 note that 4/3 = 8/6 and substitute in
x = 8/6 - 1/6 simplify by subtraction
x = 7/6

Answer 6

Mutiply both sides by 6
6x+1=8
6x+1-1=8-1 (subtract 1 from both sides)
6x=7
x=7/6
Check: x+1/6=4/3
7/6+1/6=8/6=4/3

Answer 7

(x + 1)/6 = 4/3
First multiply both sides by 6 which eliminates the 6 from the left side giving:

x + 1 = 24/3 simplify 24/3
x + 1 = 8
subtract 1 from both sides
x = 7

Answer 8

x + 1/6 = 4/3
x + 1/6 - 1/6 = 4/3 - 1/6
x= 4/3 - 1/6
x= 8/6 - 1/6
x= 7/6

Check: x=7/6
7/6 + 1/6 = 4/3
8/6 = 4/3
4/3 = 4/3

Answer 9

==

First move the 1/6 over (subtract 1/6 from both sides)

x = 4/3 - 1/6 ==

Then get common denominators -

x = 8/6-1/6 ==

And just subtract -

x = 7/6

Answer 10

X + 1/6 = 4/3
X = 4/3 - 1/6
= (8-1)/6
= 7/6....Ans
===