Question

Divide the sum of 11/3 and 5/7 by the product of 2/7 and

$4 \ \frac{1}{2}$

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Answer 1

$(\frac{11}{3} + \frac{5}{7} ) \div (\frac{2}{7} \times \frac{9}{2} )$

$= > ( \frac{77 + 15}{21} ) \div \frac{18}{14}$

$= > \frac{92}{21} \div \frac{18}{14}$

$= > \frac{92}{21} \times \frac{14}{18}$

$= > \frac{1288}{378}$

$= > \frac{92}{27}$

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Answer 2

Answer:

$(\frac{11}{3} + \frac{5}{7} )$ ÷ $(\frac{2}{7} X 4\frac{1}{2} )$

Solving RHS

$\frac{11}{3} + \frac{5}{7}$

$\frac{11 X 7 }{3 X 7} + \frac{5 X 3 }{7 X 3}$ ..................... Taking lcm

$\frac{77}{21} + \frac{15}{21}\\\\ = \frac{92}{21}$

Solving LHS

$(\frac{2}{7} X 4\frac{1}{2} ) \\\\(\frac{2}{7} X \frac{9}{2})\\\\ =\frac{9}{7}$

From the main equation ,

∴  $\frac{92}{21}$ ÷ $\frac{9}{7}$

$\frac{92}{21 } X \frac{7}{9}\\\\ \frac{92}{3} X \frac{1}{9} \\\\= \frac {92}{27}$

∴ The answer is $\frac {92}{27}$ which is 3.407

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