Question
$$3+7\cdot\frac{3}{5}\cdot3\cdot\frac{3}{9} = 52$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 3+7\cdot\frac{3}{5}\cdot3\cdot\frac{3}{9} &= 52&& \text{multiply ALL terms by } \color{blue}{ 45 }. \\[1 em]45\cdot3+457\cdot\frac{3}{5}\cdot3\cdot\frac{3}{9} &= 45\cdot52&& \text{cancel out the denominators} \\[1 em]135+189 &= 2340&& \text{simplify left side} \\[1 em]324 &= 2340&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 324 = 2340 } $ is FALSE, we conclude that the equation has no solution.
This page was created using
Equations Solver