Question

2/3x+1/6=1 what is x

Answer 1

Answer:

x = 4/5 0r 0.800

Step-by-step explanation:

Answer 2

Answer:

$\boxed {x = \frac{5}{4}}$

Step-by-step explanation:

Solve for the value of $x$:

$\frac{2}{3}x + \frac{1}{6} = 1$

-Subtract $\frac{1}{6}$ to both sides and convert the $1$ into a fraction. Since they both fractions $\frac{6}{6}$ and $\frac{1}{6}$ both have the same denominators, then you would subtract the numerators:

$\frac{2}{3}x + \frac{1}{6} - \frac{1}{6} = 1 - \frac{1}{6}$

$\frac{2}{3}x = \frac{6}{6} - \frac{1}{6}$

$\frac{2}{3}x = \frac{5}{6}$

-Multiply both sides by $\frac{3}{2}$ which is the reciprocal of $\frac{2}{3}$. By multiplying two you need to multiply both numerators and denominators:

$x = \frac{5}{6} \times (\frac{2}{3})$

$x = \frac{5 \times 3}{6 \times 2}$

$x = \frac{15}{12}$

-Simplify the fraction by reducing by $3$:

$x = \frac{15}{12}$

$\boxed {x = \frac{5}{4}}$

Therefore, the value of $x$ is $\frac{5}{4}$.