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

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Mathematics WAEC 2014

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

  • 6\(\frac{4}{15}\)
  • 6\(\frac{11}{15}\) checkmark
  • 7\(\frac{4}{15}\)
  • 7\(\frac{11}{15}\)

The correct answer is: 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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