question_answer 12)

Express the following as improper fractions. (a) \[\frac{2}{3}=\frac{2\times 6}{3\times 6}=\frac{12}{18}\] (b) \[\frac{3}{2}\] (c) \[\frac{4}{6},\frac{6}{9},\frac{8}{12},\frac{10}{15}\] (d) \[\frac{12}{18}.\] (e) \[\frac{1}{5}\] (f) \[\frac{1}{5}=\frac{1\times 2}{5\times 2}=\frac{2}{10};\] TIPS We can express a mixed fraction as an improper fraction as' \[\frac{1}{5}=\frac{1\times 3}{5\times 3}=\frac{3}{15};\]

Answer:

(a) \[\frac{1}{5}=\frac{1\times 4}{5\times 4}=\frac{4}{20}\] (b) \[5\frac{6}{7}=5+\frac{6}{7}=\frac{5\times 7+6}{7}=\frac{41}{7}\] (c) \[\frac{1}{5}=\frac{1\times 6}{5\times 6}=\frac{6}{30}\] (d) \[\frac{1}{5}\] (e) \[\frac{2}{10},\frac{3}{15},\frac{4}{20},\frac{5}{25}\] (f) \[\frac{6}{30}.\]