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 $15 = (5 \times 3) = 15$
$=\frac{(45+18+10-7)}{15}$
$\Big(\frac{15}{1}=15,15\times3=45\Big)$
$\Big(\frac{15}{5}=3,3\times6=18\Big)$
$\Big(\frac{15}{3}=5,5\times2=10\Big)$ 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 $15 = (5 \times 3) = 15$
$=\frac{(45+18+10-7)}{15}$
$\Big(\frac{15}{1}=15,15\times3=45\Big)$
$\Big(\frac{15}{5}=3,3\times6=18\Big)$
$\Big(\frac{15}{3}=5,5\times2=10\Big)$ 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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