Question

Rewrite the equation without using fractions or decimals
8-2/3x=5/6

Answer 1

Answer: 4x = 43

Explanation:

Work towards isolating the x with an end result of whole numbers

Start by making the coefficient 2/3 into an equivalent fraction of 4/6 to have a common denominator with 5/6.

8-4/6x = 5/6

Subtract 8 to move it to the other side of the equation to keep it less complicated

-4/6x = 5/6-8

Find the sum of the right side of the equation, 5/6-8, and turn it into an improper fraction.

-4/6 x= -43/6

Now, we can multiply everything by 6 to get rid of the denominators, and then divide it by -1 to make both sides positive.

-4x=-43 ---> 4x=43

There was probably a simpler way to do this but I hope it helps !!

Answer 2

Explanation:

We may first get rid of the fractions by multiplying both sides of the equation by the least common multiple (LCM) of the denominators, which is 18. This will allow us to rewrite the equation 8 - 2/3x = 5/6 without using fractions or decimals. Thus, we get:

18(8) - 18(2/3)x = 18(5/6)

144 - 12x = 15

The left side of the equation can be made simpler by multiplying -12 by 3 to get -36x:

144 - 36x = 15

Finally, by taking 144 off of both sides and then dividing by -36, we can find x:

-36x = -129

x = 129/36

As a result, the solution is x = 129/36 and the equation 8 - 2/3x = 5/6 is identical to the equation 144 - 36x = 15.