Simplify : 108 ÷ 36 × \( \frac{1}{4}+\frac{2}{5} \times 3 \frac{1}{4}\)

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  1. \(2 \frac{1}{5}\)
  2. \(1 \frac{1}{20}\)
  3. \(2 \frac{1}{11}\)
  4. \(2 \frac{1}{20}\)

Answer (Detailed Solution Below)

Option 4 : \(2 \frac{1}{20}\)
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Detailed Solution

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Given:

108 ÷ 36 × \( \frac{1}{4}+\frac{2}{5} × 3 \frac{1}{4}\)

Calculation:

108 ÷ 36 × \( \frac{1}{4}+\frac{2}{5} × 3 \frac{1}{4}\)

⇒ 108 × 1/36 × 1/4 + 2/5 × 13/4

⇒ 3 × 1/4 + 13/10

⇒ 3/4 + 13/10

⇒ (15 + 26)/20

⇒ 41/20 = 2\(\frac{1}{20}\)

∴ The correct answer is option (4).

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