Question

Solve: (^3/13) + 5/7 × (^3/13) + 1/7 using distributive law over addition​

Answer 1

16/13+5/7×jhhbhfhcvn

Answer 2

SOLUTION

TO DETERMINE

To solve using distributive law

$\displaystyle \sf{ \bigg(\frac{3}{13} \times \frac{5}{7} \bigg) + \bigg(\frac{3}{13} \times \frac{1}{7} \bigg)}$

FORMULA TO BE IMPLEMENTED

Distributive Law

For three given real numbers a , b , c

$\sf{a \times (b + c) = (a \times b) + (a \times c)}$

EVALUATION

$\displaystyle \sf{ \bigg(\frac{3}{13} \times \frac{5}{7} \bigg) + \bigg(\frac{3}{13} \times \frac{1}{7} \bigg)}$

$\displaystyle \sf{ = \frac{3}{13} \times \bigg(\frac{5}{7} + \frac{1}{7} \bigg)}$

$\displaystyle \sf{ = \frac{3}{13} \times \bigg(\frac{5 + 1}{7} \bigg)}$

$\displaystyle \sf{ = \frac{3}{13} \times \bigg(\frac{6}{7} \bigg)}$

$\displaystyle \sf{ = \frac{18}{91} }$

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