value of a 6=x+2/3

Question

How to solve

6=x+2 /3

Answer 1

Hi Zubair,

 

Remember that whatever you do to one side of the equation, you have to do to the other side.

 

The goal is to get X by itself.

 

So first you need to subtract 2/3 from each side--> 6 - 2/3 + X

 

Now you have to remember how to subtract fractions.  You need the same denominators.  So let's change 6 to 18/3. . .

 

all you've done is multiply 6/1 by 3/3 to get 18/3 . . . it's still 6.

 

Now, 18/3 - 2/3 = X

 

16/3 = X

 

You can change it to a mixed fraction by dividing 16 by 3 and get 5 1/3 = X

 

Dan

Answer 2

For this problem, let's make 6 into a fraction so you can isolate x.

 

6 as a fraction is 6/1 since a fraction is division and division is a fraction (6/1 is 6÷1 or 6). So now the problem is: 6/1 = x+ 2/3. You must subtract 2/3 from both sides so x is alone; however, the denominators must be the same for both fractions. 6/1 is the same as 18/3 so now it will look like: 18/3 -2/3=x +2/3 -2/3. The numerators subtract so x=16/3 or 5 1/3 as a mixed number.