Question
Simplify:$3+1\frac{1}{5}+\frac{2}{3}-\frac{7}{15}$
✓
Answer
We have:$3+1\frac{1}{5}+\frac{2}{3}-\frac{7}{15}$
$=\frac{3}{1}+\frac{6}{5}+\frac{2}{3}-\frac{7}{15}$
$\begin{array}{c|c}5&5,3,15\\\hline3&1,3,3\ \\\hline&1,1,1\ \end{array}$
L.C.M. of 5, 3 and 15 = (5 × 3) = 15 $=\frac{(45+18+10-7)}{15}$ $\Big(\frac{15}{1}=15,15\times3=45\Big)$ $\Big(\frac{15}{5}=3,3\times6=18\Big)$ $\Big(\frac{15}{3}=5,5\times2=10\Big)$ and $\Big(\frac{15}{15}=1,1\times7=7\Big)$$=\frac{(73-7)}{15}$
$=\frac{66}{15}$
$=\frac{22}{5}$
$=4\frac{2}{5}$
$=\frac{3}{1}+\frac{6}{5}+\frac{2}{3}-\frac{7}{15}$
$\begin{array}{c|c}5&5,3,15\\\hline3&1,3,3\ \\\hline&1,1,1\ \end{array}$
L.C.M. of 5, 3 and 15 = (5 × 3) = 15 $=\frac{(45+18+10-7)}{15}$ $\Big(\frac{15}{1}=15,15\times3=45\Big)$ $\Big(\frac{15}{5}=3,3\times6=18\Big)$ $\Big(\frac{15}{3}=5,5\times2=10\Big)$ and $\Big(\frac{15}{15}=1,1\times7=7\Big)$$=\frac{(73-7)}{15}$
$=\frac{66}{15}$
$=\frac{22}{5}$
$=4\frac{2}{5}$
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