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Rational Numbers — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsRational Numbers2 Marks
Question
Use the distributivity of multiplication of rational numbers over their addition to simplify:$\frac{3}{5}\times \Big(\frac{35}{24}+\frac{10}{1}\Big)$
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Answer

$\frac{3}{5}\times \Big(\frac{35}{24}+\frac{10}{1}\Big)$
$=\frac{3}{5}\times\frac{35}{24}+\frac{3}{5}\times\frac{10}{1}$
$=\frac{3\times35}{5\times24}+\frac{3\times10}{5\times1}$
$=\frac{1\times7}{1\times8}+\frac{3\times2}{1\times1}=\frac{7}{8}+6$
$=\frac{7}{8}+\frac{48}{1}$
$=\frac{7+48}{8}=\frac{55}{8}$

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