$$ \begin{aligned} \frac{101}{20} &= \frac{13}{10}w+\frac{15}{4}&& \text{multiply ALL terms by } \color{blue}{ 20 }. \\[1 em]20\cdot\frac{101}{20} &= 20 \cdot \frac{13}{10}w+20\cdot\frac{15}{4}&& \text{cancel out the denominators} \\[1 em]101 &= 26w+75&& \text{ swap the left and right side of the equation } \\[1 em]26w+75 &= 101&& \text{ move 75 to the right } \\[1 em]26w &= 101-75&& \\[1 em]26w &= 26&& \text{ divide both sides by $ 26 $ } \\[1 em]w &= \frac{26}{26}&& \\[1 em]w &= 1&& \\[1 em] \end{aligned} $$

This page was created using