Question

Simplify $\frac{2}{3}+\frac{3}{4}-\frac{11}{15}$.

Answer 1

First find LCM of $3,4and15$

$LCM=2x2x3x5=60$

LCM of $3,4and5is60$

Now,

$$\begin{gathered} \frac{2}{3}+\frac{3}{5}-\frac{11}{15}=\frac{2x20+3x12-11x4}{60} \\ =\frac{40+36-44}{60} \\ =\frac{76-44}{60} \\ =\frac{32}{60}/\frac{32÷4}{60÷4} \\ =\frac{8}{15} \end{gathered}$$