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Simplify 10\(\frac{2}{5} - 6 \frac{2}{3} + 3\)

Simplify 10\(\frac{2}{5} - 6 \frac{2}{3} + 3\)
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  • A 6\(\frac{4}{15}\)
  • B 6\(\frac{11}{15}\)
  • C 7\(\frac{4}{15}\)
  • D 7\(\frac{11}{15}\)
Correct Answer: Option B
Explanation:
10\(\frac{2}{5} - 6 \frac{2}{3} + 3\)
\(\frac{52}{5} - \frac{20}{3} + \frac{3}{1}\)
= \(\frac{156 - 100 + 45}{15}\)
\(\frac{156 + 45 - 100}{15}\)
= \(\frac{201 - 100}{15}\)
= \(\frac{101}{15}\)
= 6\(\frac{11}{15}\)

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