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Fractions — Maths STD 6 — Question

Maharashtra BoardEnglish MediumSTD 6MathsFractions3 Marks
Question
Find the sum:
$2\frac{7}{10}+3\frac{8}{15}$
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Answer

We have,
L.C.M. of 10 and 15 = (2 × 3 × 5) = 30
$\begin{array}{c|c}5&10,15\\\hline2&2,3\\\hline3&1,3\\\hline&1,1\end{array} $
Therefore,
$2\frac{7}{10}+3\frac{8}{15}$
$=\frac{27}{10}+\frac{53}{15}$
$=\frac{(81+106)}{30}$
$\Big(\frac{30}{10}=3,3\times27=81\Big)$
and $\Big(\frac{30}{15}=2,2\times53=106\Big)$
$=\frac{187}{30}$
$=6\frac{7}{30}$

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