Simplify frac 1 frac 7 8 times 2 frac 2 5 6 fra... - WAEC Mathematics 2013 Question

(\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})