Question
$$\frac{1}{4}+\frac{1}{4} = \frac{1}{2}$$
Answer
The equation has an infinite number of solutions.
Explanation
$$ \begin{aligned} \frac{1}{4}+\frac{1}{4} &= \frac{1}{2}&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot\frac{1}{4}+4\cdot\frac{1}{4} &= 4\cdot\frac{1}{2}&& \text{cancel out the denominators} \\[1 em]1+1 &= 2&& \text{simplify left side} \\[1 em]2 &= 2&& \\[1 em] \end{aligned} $$
Since the statement $ \color{blue}{ 2 = 2 } $ is TRUE for any value of $ x $, we conclude that the equation has infinitely many solutions.
This page was created using
Equations Solver