Question

$4 \times \frac{1}{6} \div 2 \times \frac{1}{?8} of \frac{1}{6} - 4 \times \frac{?1}{6}$
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Answer 1

Step-by-step explanation:

$4 \frac{1}{6} \div 2 \frac{1}{8} of \: \frac{1}{6} - 4 \frac{1}{6} \\ = \frac{25}{6} \div \frac{17}{8} of \: \frac{1}{6} - \frac{25}{6} \\ = \frac{25}{6} \div \frac{17}{8} \times \frac{1}{6} - \frac{25}{6} \\ = \frac{25}{6} \div \frac{17}{48} - \frac{25}{6} \\ = \frac{25}{6} \times \frac{48}{17} - \frac{25}{6}$

$= \frac{25 \times 8}{1 \times 17} - \frac{25}{6} \\ = \frac{(200 \times 6) - (25 \times 17)}{102} \\ = \frac{1200 - 425}{102} \\ = \frac{775}{102}$