Simplify : \(\frac{1\frac{1}{4}+18.75-12\frac{2}{6}-7\frac{6}{9}}{0.6\times 8.7-6.98\times 10.9}\)

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  1. 0
  2. 0.75
  3. 1
  4. 1.6

Answer (Detailed Solution Below)

Option 1 : 0
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Calculation:

\(\frac{1\frac{1}{4}+18.75-12\frac{2}{6}-7\frac{6}{9}}{0.6\times 8.7-6.98\times 10.9}\)

⇒ \(\frac{\frac{5}{4}+18.75-\frac{74}{6}-\frac{69}{9}}{0.6\times 8.7-6.98\times 10.9}\)

⇒ \(\frac{1.25+18.75-\frac{37}{3}-\frac{23}{3}}{5.22-76.08}\)

⇒ \(\frac{20-\frac{60}{3}}{-70.86}\)

⇒ \(\frac{\frac{60 -60}{3}}{-70.86}\)

⇒ \(\frac{\frac{0}{3}}{-70.86}\)

⇒ 0

∴ Option 1 is the correct answer.
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