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# Use the Distributivity of Multiplication of Rational Numbers Over Their Addition to Simplify: 3 5 × ( 35 24 + 10 1 ) - Mathematics

Sum

Use the distributivity of multiplication of rational numbers over their addition to simplify:

$\frac{3}{5} \times \left( \frac{35}{24} + \frac{10}{1} \right)$
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#### Solution

$\frac{3}{5} \times (\frac{35}{24} + \frac{10}{1}) = \frac{3}{5} \times \frac{35}{24} + \frac{3}{5} \times \frac{10}{1} = \frac{7}{8} + \frac{6}{1} = \frac{7 + 48}{8} = \frac{55}{8}$

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 1 Rational Numbers
Exercise 1.6 | Q 4.1 | Page 32
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