Question
$$\frac{1}{2}-\frac{1}{12}+\frac{6}{5} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{1}{2}-\frac{1}{12}+\frac{6}{5} &= 0&& \text{multiply ALL terms by } \color{blue}{ 60 }. \\[1 em]60\cdot\frac{1}{2}-60\cdot\frac{1}{12}+60\cdot\frac{6}{5} &= 60\cdot0&& \text{cancel out the denominators} \\[1 em]30-5+72 &= 0&& \text{simplify left side} \\[1 em]97 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 97 = 0 } $ is FALSE, we conclude that the equation has no solution.
This page was created using
Equations Solver