Question

$\frac{1}{3}w+\frac{5}{4}=w-\frac{1}{4}$

Short answer

The value of w is 9/4

Step-by-step solution

- We have

$\frac{1}{3}w+\frac{5}{4}=w-\frac{1}{4}$

Step 2

$$\begin{gathered} \frac{1}{3}w+\frac{5}{4}=w-\frac{1}{4} \\ \Rightarrow \frac{1}{3}w-w=-\frac{1}{4}-\frac{5}{4} \\ \Rightarrow \frac{w-3w}{3}=\frac{-1-5}{4} \\ \Rightarrow -\frac{2w}{3}=-\frac{6}{4} \\ \Rightarrow w=\frac{9}{4} \end{gathered}$$