a)
[tex] \frac{1}{4} \div \frac{1}{5} = \frac{1}{4} \times 5 = \frac{5}{4} = 1 \frac{1}{4} [/tex]
b)
[tex] \frac{3}{7} \div \frac{2}{5} = \frac{3}{7} \times \frac{5}{2} = \frac{15}{14} = 1\frac{1}{14} [/tex]
c)
[tex] \frac{2}{3} \div \frac{5}{6} = \frac{2}{3} \times \frac{6}{5} = \frac{4}{5} [/tex]
d)
[tex] \frac{3}{7} \div \frac{9}{28} = \frac{3}{7} \times \frac{28}{9} = \frac{4}{3} = 1 \frac{1}{3} [/tex]
e)
[tex]1 \frac{1}{2} \div \frac{2}{3} = \frac{3}{2} \times \frac{3}{2} = \frac{9}{4} = 2 \frac{1}{4} [/tex]
f)
[tex] 5\frac{1}{3} \div \frac{4}{9} = \frac{16}{3} \times \frac{9}{4} = \frac{12}{1} = 12[/tex]