Question
$$\frac{1}{4}+1\cdot\frac{1}{3} = \frac{1}{2}$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{1}{4}+1\cdot\frac{1}{3} &= \frac{1}{2}&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]12\cdot\frac{1}{4}+12\cdot1\cdot\frac{1}{3} &= 12\cdot\frac{1}{2}&& \text{cancel out the denominators} \\[1 em]3+4 &= 6&& \text{simplify left side} \\[1 em]7 &= 6&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 7 = 6 } $ is FALSE, we conclude that the equation has no solution.
This page was created using
Equations Solver