Question
Download Solution PDFSimplify:
\(\left[\left(7 \frac{1}{4}\right)^2-\left(5 \frac{4}{5}\right)^2\right] \div 5 \frac{4}{5} \times \frac{16}{9}\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
\(\left[\left(7 \frac{1}{4}\right)^2-\left(5 \frac{4}{5}\right)^2\right] \div 5 \frac{4}{5} \times \frac{16}{9}\)
Concept used:
BODMAS Rule, follow the order: Bracket off, Division, multiplication, addition and subtraction.
Calculation:
\(\left[\left(7 \frac{1}{4}\right)^2-\left(5 \frac{4}{5}\right)^2\right] \div 5 \frac{4}{5} \times \frac{16}{9}\)
⇒ \(\left[\left( \frac{29}{4}\right)^2-\left(\frac{29}{5}\right)^2\right]\div \frac{29}{5} \times \frac{16}{9}\)
⇒ \(\left[\left( \frac{841}{16}\right)-\left(\frac{841}{25}\right)\right]\div \frac{29}{5} \times \frac{16}{9}\)
⇒ \(841\left[\left(\frac{25-16}{400}\right)\right]\div \frac{29}{5} \times \frac{16}{9}\)
⇒ \(841\times \frac{9}{400} \times \frac{5}{29} \times \frac{16}{9}\)
⇒ \(\frac{29}{5}\) = 5.8
∴ The correct answer is \(\frac{29}{5} = 5.8\).
Last updated on Jun 17, 2025
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