Question

Find the difference:
$3\frac{5}{8}-2\frac{5}{12}$

Answer 1

$$\begin{gathered} 3\frac{5}{8}-2\frac{5}{12} \\ =\frac{29}{8}-\frac{29}{12} \\ 2\underline{\overline{)8,12}} \\ \underline{2\underline{\overline{)4}},6} \\ 2\overline{)\underline{2,3}} \\ 3\overline{)\underline{1,3}} \\ \overline{)\underline{1,1}} \\ \mathrm{L}.\mathrm{C}.\mathrm{M}.\mathrm{of}8\mathrm{and}12=(2\times 2\times 2\times 3)=24 \\ \therefore \frac{29}{8}-\frac{29}{12}=\frac{\left(87-58\right)}{24}=\frac{29}{24}=1\frac{5}{24}\left\{\left[24÷8=3,3\times 29=87\right]\mathrm{and}\left[24÷12=2,2\times 29=58\right]\right\} \end{gathered}$$