Question

$\frac{1}{2}a-\frac{1}{4}=\frac{1}{6}a+\frac{1}{12}$

Short answer

The value of$a=1$

Step-by-step solution

- The given information

$\frac{1}{2}a-\frac{1}{4}=\frac{1}{6}a+\frac{1}{2}$

Step 2

$$\begin{gathered} \frac{1}{2}a-\frac{1}{4}=\frac{1}{6}a+\frac{1}{12} \\ \Rightarrow \frac{1}{2}a-\frac{1}{6}a=\frac{1}{12}+\frac{1}{4} \\ \Rightarrow \frac{3a-a}{6}=\frac{1+3}{12} \\ \Rightarrow \frac{2a}{6}=\frac{4}{12} \\ \Rightarrow a=1 \end{gathered}$$