Question

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

Answer 1

Answer:

x = 5/4

Step-by-step 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.

$\frac{2}{3}x + \frac{1}{6}  = 1$

$\frac{4}{6}x + \frac{1}{6}  = 1$    Give the fractions common denominators

$\frac{4}{6}x + \frac{1}{6}  - \frac{1}{6} = 1 - \frac{1}{6}$  Subtract 1/6 from both sides

$\frac{4}{6}x  = 1 - \frac{1}{6}$   1/6 is cancelled out on the left side

$\frac{4}{6}x  = \frac{5}{6}$    Simplify the right side

$\frac{\frac{4}{6}x}{4/6}  = \frac{\frac{5}{6}}{4/6}$ Divide both sides by 4/6

$\frac{4}{6}x X\frac{6}{4} = \frac{5}{6} X\frac{6}{4}$   Dividing is like multiplying by the flipped second fraction on both sides

$\frac{24}{24}x  = \frac{30}{24}$   Simplify. 24/24 = 1 and reduce 30/24

$x  = \frac{5}{4}$  Final answer