Question
Download Solution PDFSimplify the given expression.
\(\frac{\left(2 \frac{1}{7}+6 \frac{1}{7}\right) \div \frac{9}{7}}{1 \frac{1}{9} \div\left\{\frac{7}{9}+\left(\frac{4}{9} \div \frac{4}{3}\right)\right\}} \)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
\(\frac{\left(2 \frac{1}{7}+6 \frac{1}{7}\right) \div \frac{9}{7}}{1 \frac{1}{9} \div\left\{\frac{7}{9}+\left(\frac{4}{9} \div \frac{4}{3}\right)\right\}} \)
Concept used:
BODMAS rule, follow the order bracket off, division, multiplication, addition and subtraction.
Calculation:
\(\frac{\left(2 \frac{1}{7}+6 \frac{1}{7}\right) \div \frac{9}{7}}{1 \frac{1}{9} \div\left\{\frac{7}{9}+\left(\frac{4}{9} \div \frac{4}{3}\right)\right\}} \)
⇒ \(\frac{\left(\frac{15}{7}+\frac{43}{7}\right) \div \frac{9}{7}}{ \frac{10}{9} \div\left\{\frac{7}{9}+\left(\frac{4}{9} \times \frac{3}{4}\right)\right\}} \)
⇒ \(\frac{\left (\frac{58}{7}\right) \times \frac{7}{9}}{ \frac{10}{9} \div\left\{\frac{7}{9}+ \left(\frac{3}{9}\right)\right\}} \)
⇒ \(\frac{\left (\frac{58}{9}\right)}{ \frac{10}{9} \div\left\{ \left(\frac{10}{9}\right)\right\}} \)
⇒ 58/9
∴ The correct answer is 58/9.
Last updated on Jun 17, 2025
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