Question

Simplify :

$3-\frac{11}{12}+\frac{5}{8}$

Answer 1

$3-\frac{11}{12}+\frac{5}{8}=\frac{3}{1}-\frac{11}{12}+\frac{5}{8}$

We will find out the LCM of the denominators $1,12and8=24$

$$\begin{gathered} =\frac{3\times (24÷1)-11\times (24÷12)+5\times (24÷8)}{24} \\ =\frac{3\times 24-11\times 2+5\times 3}{24} \\ =\frac{72-22+15}{24} \\ =\frac{87-22}{24} \\ =\frac{65}{24} \end{gathered}$$

Therefore the required answer after simplification is $\frac{65}{24}$