Question

Simplify $\frac{3}{10}-\frac{11}{30}+\frac{2}{15}$.

Answer 1

Find the LCM of $10,30and15$

$LCM=2x3x5=30$

LCM of $10,30and15is30$.

Now,

$$\begin{gathered} \frac{3}{10}-\frac{11}{30}+\frac{2}{15}=\frac{3x3-11x1+2x2}{30} \\ =\frac{9-11+4}{30} \\ =\frac{-2+4}{30} \\ =\frac{2}{30}/\frac{2÷2}{30÷2} \\ =\frac{1}{15} \end{gathered}$$ $$\begin{gathered} Since30÷10=3;3x3 \\ 30÷30=1;11x1 \\ 30÷15=2;20x2 \end{gathered}$$