Question

Simplify: add fraction $5\frac{3}{4}-2\frac{11}{14}+1\frac{1}{7}$

Answer 1

The given expression can also be written as
$\frac{4\times 5+3}{4}-\frac{14\times 2+11}{14}+\frac{7\times 1+1}{7}$
$\frac{20+3}{4}-\frac{28+11}{14}+\frac{7+1}{7}$
$\frac{23}{4}-\frac{39}{14}+\frac{8}{7}$
Taking $28$ as L.C.M. of $4,7\mathrm{and}14$
$\frac{7\times 23-2\times 39+4\times 8}{28}$ = $\frac{161-78+32}{28}$ = $\frac{193-78}{28}$ = $\frac{115}{28}$
$\frac{115}{28}$, can also be written as $4\frac{3}{28}$.