Math, asked by hk3486889, 1 month ago

Simplify
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Answers

Answered by Anonymous
22

Question :-

Simplify :-

\implies\sf \sf 5\dfrac{2}{9} \div \dfrac{8}{27} \: of \: \dfrac{15}{7} + \dfrac{9}{5}

Answer :-

Using BODMAS rule :-

  • B - Brackets
  • O - Of
  • D - Division
  • M - Multiplication
  • A - Addition
  • S - Subtraction

\implies\sf 5\dfrac{2}{9} \div \left(\dfrac{8}{\cancel{27} \:  \:  ^  9 }\: of \: \dfrac{\cancel{15} \:  \: ^{5}}{7}\right) + \dfrac{9}{5}

\implies\sf 5\dfrac{2}{9} \div \left(\dfrac{8}{9} \times \dfrac{5}{7}\right) + \dfrac{9}{5}

\implies\sf 5\dfrac{2}{9} \div \dfrac{40}{63} + \dfrac{9}{5}

\implies\sf 5\dfrac{2}{9} \times \dfrac{63}{40} + \dfrac{9}{5}

\implies\sf \dfrac{ 9 \times 5 + 2 }{9} \times \dfrac{63}{40} + \dfrac{9}{5}

\implies\sf \dfrac{45 + 2}{9} \times \dfrac{63}{40} + \dfrac{9}{5}

\implies\sf \dfrac{47}{9} \times \dfrac{63}{40} + \dfrac{9}{5}

\implies\sf \dfrac{47}{\cancel9} \times \dfrac{\cancel{63}\:\:^7}{40} + \dfrac{9}{5}

\implies\sf \dfrac{47}{1} \times \dfrac{7}{40} + \dfrac{9}{5}

\implies\sf \dfrac{329}{40}+ \dfrac{9}{5}

\implies\sf \dfrac{329}{40} + \dfrac{9 \times 8}{5\times 8}

\implies\sf \dfrac{329}{40} + \dfrac{72}{40}

\implies\sf \dfrac{401}{40}

\implies\boxed{\sf 10\dfrac{1}{40}}

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