Question

5. Simplify
5/9+1/3+7/5+2/9+8/3​

Answer 1

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Question : Simplify :

5/9+1/3+7/5+2/9+8/3

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$\: \implies \displaystyle \bf{ \frac{5}{9} + \frac{1}{3} + \frac{7}{5} + \frac{2}{9} + \frac{8}{3} }$

$\: \implies \bf{ \frac{5}{9} + \frac{1 \times 3}{3 \times 3} + \frac{7}{5} + \frac{2}{9} + \frac{8 \times 3}{3 \times 3}}$

$\: \implies \displaystyle \bf{ \frac{5}{9} + \frac{3}{9} + \frac{7}{5} + \frac{2}{9} + \frac{24}{9} }$

$\: \implies \displaystyle \bf{ \frac{5 + 3}{9} + \frac{7}{5} + \frac{2 + 24}{9} }$

$\: \: \implies \displaystyle \bf{ \frac{8}{9} + \frac{7}{5} + \frac{26}{9} }$

$\: \: \implies \displaystyle \bf{ \frac{8 + 26}{9} + \frac{7}{5} }$

$\: \: \implies \displaystyle \bf{ \frac{34}{9} + \frac{7}{5} }$

$\: \implies \displaystyle \bf \frac{34 \times 5 + 7 \times 9}{45}$

$\: \: \implies \displaystyle \bf{ \frac{170 + 63}{45} }$

$\: \: \implies \displaystyle \bf{ \frac{233}{45} }$

$\: \implies \bf { \approx \: 4.95 \ \: \to \approx5.00 }$

$\: \bigstar \underline{\boxed{ \boxed{ \sf{the \: answer \: will \: be \: \approx5.00}}}}$