Question
Download Solution PDFThe value of \(\frac{1}{4}+\frac{2}{5} \div\left[\left\{2 \frac{1}{5}-2\right\} \times 5\right]-\frac{2}{3}\) of \(\frac{3}{5}\) is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
\(\frac{1}{4}+\frac{2}{5} \div\left[\left\{2 \frac{1}{5}-2\right\} \times 5\right]-\frac{2}{3} \times \frac{3}{5}\)
⇒ \(\frac{1}{4}+\frac{2}{5} \div\left[\left\{\frac{11}{5}-2\right\} \times 5\right]-\frac{2}{5}\)
⇒ \(\frac{1}{4}+\frac{2}{5} \div\left[\left\{\frac{1}{5}\right\} \times 5\right]-\frac{2}{5}\)
⇒ \(\frac{1}{4}+\frac{2}{5} \div1-\frac{2}{5}\)
⇒ \(\frac{1}{4}+\frac{2}{5}-\frac{2}{5}\)
⇒ \(\frac{1}{4}\)
∴ Option 2 is the correct answer.
Last updated on Jun 17, 2025
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