Question

Solve the equation.5/6=1/3+d

Answer 1

Solving a linear equation

We have the following equation

$\begin{gathered} \frac{5}{6}=\frac{1}{3}+d \\ \end{gathered}$

We substract 1/3 each side:

$\begin{gathered} -\frac{1}{3}+\frac{5}{6}=-\frac{1}{3}+\frac{1}{3}+d \\ -\frac{1}{3}+\frac{5}{6}=0+d \\ -\frac{1}{3}+\frac{5}{6}=d \\ \end{gathered}$

We multiply each side of the fraction 1/3 by 2:

$-\frac{1}{3}=-\frac{1\cdot2}{3\cdot2}=-\frac{2}{6}$

Then

$\begin{gathered} -\frac{1}{3}+\frac{5}{6}=d \\ -\frac{2}{6}+\frac{5}{6}=d \\ \frac{3}{6}=\frac{1}{2}=d \end{gathered}$

Answer: d = 1/2