Question

Find the difference:
$2\frac{3}{10}-1\frac{7}{15}$

Answer 1

$$\begin{gathered} 2\frac{3}{10}-1\frac{7}{15} \\ =\frac{23}{10}-\frac{22}{15} \\ 5\underline{\overline{)10,15}} \\ \underline{2\underline{\overline{)2,}3}} \\ 3\overline{)\underline{1,3}} \\ \overline{)\underline{1,1}} \\ \mathrm{L}.\mathrm{C}.\mathrm{M}.\mathrm{of}10\mathrm{and}15=(2\times 3\times 5)=30 \\ =\frac{\left(69-44\right)}{30}\left\{\left[30÷10=3,3\times 23=69\right]\mathrm{and}\left[30÷15=2,2\times 22=44\right]\right\} \\ =\frac{{\cancel{25}}^5}{{\cancel{30}}_6} \\ =\frac{5}{6} \end{gathered}$$