Question

Express the following as mixed fraction:

a) $\frac{20}{3}$ b) $\frac{11}{5}$ c) $\frac{17}{7}$ d) $\frac{28}{5}$ e) $\frac{19}{6}$ f) $\frac{35}{9}$

Answer 1

a) $\frac{20}{3}=\frac{18+2}{3}=\frac{18}{3}+\frac{2}{3}=6+\frac{2}{3}=6\frac{2}{3}$

b) $\frac{11}{5}=\frac{10+1}{5}=\frac{10}{5}+\frac{1}{5}=2+\frac{1}{5}=2\frac{1}{5}$

c) $\frac{17}{7}=\frac{14+3}{7}=\frac{14}{7}+\frac{3}{7}=2+\frac{3}{7}=2\frac{3}{7}$

d) $\frac{28}{5}=\frac{25+3}{5}=\frac{25}{5}+\frac{3}{5}=5+\frac{3}{5}=5\frac{3}{5}$

e) $\frac{19}{6}=\frac{18+1}{6}=\frac{18}{6}+\frac{1}{6}=3+\frac{1}{6}=3\frac{1}{6}$

f) $\frac{35}{9}=\frac{27+8}{9}=\frac{27}{9}+\frac{8}{9}=3+\frac{8}{9}=3\frac{8}{9}$