Question on: JAMB Mathematics - 2024

Simplify \(\frac{2\frac{2}{3} \times 1\frac{1}{2}}{4\frac{4}{5}}\)

A
\(1\frac{1}{4}\)
B
\(1\frac{1}{6}\)
C
\(\frac{5}{6}\)
D
\(\frac{4}{5}\)
Ask EduPadi AI for a detailed answer
Correct Option: C

Convert mixed numbers:

  • \(2\frac{2}{3} = \frac{8}{3}\)
  • \(1\frac{1}{2} = \frac{3}{2}\)
  • \(4\frac{4}{5} = \frac{24}{5}\)

Expression becomes:

\[ \frac{\frac{8}{3} \times \frac{3}{2}}{\frac{24}{5}} \]

Multiply numerator:

\[ \frac{8}{3} \times \frac{3}{2} = 4 \]

Now:

\[ \frac{4}{\frac{24}{5}} = 4 \times \frac{5}{24} = \frac{20}{24} = \frac{5}{6} \]

Answer: \(\frac{5}{6}\)

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