Question on: WAEC Mathematics - 2013
Simplify (\frac{1\frac{7}{8} \times 2\frac{2}{5}}{6\frac{3}{4} \div \frac{3}{4}})
A
9
B
4\(\frac{1}{2}\)
C
2
D
\(\frac{1}{2}\)
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Correct Option: D
(\frac{1\frac{7}{8} \times 2\frac{2}{5}}{6\frac{3}{4} \div \frac{3}{4}})
from numerator (1 \frac{7}{8} \times 2 \frac{2}{5})
= (\frac{15}{8} \times \frac{12}{5})
= (\frac{3 \times 3}{2 \times 1} = \frac{9}{2})
from denominator (6\frac{3}{4} \div \frac{3}{4})
= (\frac{27}{4} \div \frac{3}{4})
= (\frac{27}{4} \times \frac{4}{3})
= (\frac{9 \times 1}{1 \times 1} = \frac{9}{1})
(\frac{9}{2} \div \frac{9}{1} = \frac{9}{2} \times \frac{1}{9})
= (\frac{1}{2})
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