Question

What is the solution to the equation
2/3x+1/6=1​

Answer 1

x = 5/4

Explanation:

We can solve for x by isolating it from the other numbers. Move everything else over to the other side in reverse BEDMAS order.

`(2)/(3)x + (1)/(6)  = 1`

`(4)/(6)x + (1)/(6)  = 1` Give the fractions common denominators

`(4)/(6)x + (1)/(6)  - (1)/(6) = 1 - (1)/(6)` Subtract 1/6 from both sides

`(4)/(6)x  = 1 - (1)/(6)` 1/6 is cancelled out on the left side

`(4)/(6)x  = (5)/(6)` Simplify the right side

`((4)/(6)x)/(4/6)  = ((5)/(6))/(4/6)` Divide both sides by 4/6

`(4)/(6)x X(6)/(4) = (5)/(6) X(6)/(4)` Dividing is like multiplying by the flipped second fraction on both sides

`(24)/(24)x  = (30)/(24)` Simplify. 24/24 = 1 and reduce 30/24

`x  = (5)/(4)` Final answer