Question

Simplify(2/3+4/9) of3/5÷1 2/3× 1 1/4-1/3​

Answer 1

☆Question:-

Simplify $\textsf{ (\dfrac{2}{3}+ \dfrac{4}{9}) of \dfrac{3}{5}÷1\dfrac{2}{3}\times \dfrac{11}{4}- \dfrac{1}{3} }$

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$\huge{\tt{\underbrace{\red{answEr}}:-}}$

$\large{\purple \leadsto \textsf{ \dfrac{58}{75} }}$

$\large{\mathcal{\green{eXplanAtiOn:-}}}$

$\mathsf{\dfrac{2}{3}+\dfrac{4}{9} of \dfrac{3}{5}\div 1\dfrac{2}{3}\times \dfrac{11}{4}- \dfrac{1}{3}}$

$\mathsf{\Rightarrow\dfrac{2}{3} + \dfrac{4}{9} of \dfrac{3}{5} \div \dfrac{5}{3}\times \dfrac{11}{4}- \dfrac{1}{3}} \\ \\ \mathsf{\Rightarrow\dfrac{2}{3} + \dfrac{\cancel4}{\cancel9^{\cancel3} } of \dfrac{\cancel3}{5} \times \dfrac{\cancel3}{5}\times \dfrac{11}{\cancel4}- \dfrac{1}{3}} \\ \\ \mathsf{\Rightarrow \dfrac{2}{3} + \frac{11}{25} - \frac{1}{3}} \\ \\ \mathsf{\Rightarrow \dfrac{50 + 33 - 25}{75} } \\ \\ \mathsf{\Rightarrow\boxed{ \frac{58}{75}} }$

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