Question

Simplify:
$5\frac{3}{4}-4\frac{5}{12}+3\frac{1}{6}$

Answer 1

We have:
$$\begin{gathered} 5\frac{3}{4}-4\frac{5}{12}+3\frac{1}{6} \\ =\frac{23}{4}-\frac{53}{12}+\frac{19}{6} \\ \mathrm{L}.\mathrm{C}.\mathrm{M}.\mathrm{of}4,12\mathrm{and}6=(2\times 2\times 3)=12 \\ 2\underline{\overline{)4,12,6}} \\ \underline{2\underline{\overline{)2,6}},3} \\ 3\overline{)\underline{1,2,3}} \\ 2\overline{)\underline{1,2,1}} \\ \overline{)\underline{1,1,}1} \\ =\frac{\left(69-53+38\right)}{12}\left\{\left[12÷4=3,3\times 23=69\right],\left[12÷12=1,1\times 53=53\right]\mathrm{and}\left[12÷6=2,2\times 19=38\right]\right\} \\ =\frac{\left(107-53\right)}{12}=\frac{54}{12}=\frac{9}{2}=4\frac{1}{2} \end{gathered}$$
234+556