Question

5\tfrac{1}{6} ÷ \frac{9}{2}

Answer 1

$5 \times \frac{1}{6} \div \frac{9}{2} = \frac{31}{6} \div \frac{9}{2}$

When we change symbol of division into symbol of multiplication, the fraction after the symbol of division will also reciprocal.

$\frac{31}{6} \times \frac{2}{9} = \frac{31}{27}$

answer is 31/27