Question

Simplify: $5\frac{1}{2}-3\frac{3}{4}+8\frac{3}{8}-2\frac{13}{16}$

Answer 1

The given numeric expression can also be written as
$\frac{5\times 2+1}{2}-\frac{4\times 3+3}{4}+\frac{8\times 8+3}{8}-\frac{16\times 2+13}{16}$
$\frac{11}{2}-\frac{15}{4}+\frac{67}{8}-\frac{45}{16}$
The L.C.M. of $2,4,8$ and $16$ is $16$
$\frac{11\times 8-15\times 4+67\times 2-45}{16}$
$\frac{88-60+134-45}{16}$ = $\frac{117}{16}$
So, after simplification, the answer is $\frac{117}{16}$ or$7\frac{5}{16}$.