Chapter 2

Express each fraction in its simplest form: \(\begin{array}{lllll}\text { (a) } \frac{9}{12} & \text { (b) } \frac{16}{20} & \text { (c) } \frac{20}{16} \text { (d) } \frac{72}{96} & \text { (e) }-\frac{30}{42} \text { (f) } \frac{-20}{-45}\end{array}\)

Express each of the following fractions in their simplest form: (a) \(\frac{12}{60}\) (c) \(\frac{27}{81}\) (d) \(\frac{6}{92}\) (e) \(\frac{377}{390}\)

Express the following mixed fractions as improper fractions: (a) \(1 \frac{1}{2}\) (b) \(2 \frac{1}{3}\) (c) \(3 \frac{1}{4}\) (d) \(3 \frac{2}{5}\) (e) \(-10 \frac{2}{5}\)

Express each of the following mixed fractions as an improper fraction: (a) \(3 \frac{2}{3}\) (b) \(5 \frac{2}{5}\) (c) \(7 \frac{1}{2}\) (d) \(-9 \frac{3}{4}\) (e) \(10 \frac{4}{7}\)

Express the following improper fractions as mixed fractions: (a) \(\frac{5}{4}\) (b) \(\frac{6}{5}\) (c) \(\frac{12}{5}\) (d) \(\frac{47}{3}\) (e) \(-\frac{62}{7}\)

(a) Express \(\frac{3}{5}\) as an equivalent fraction with a denominator of 40 . (b) Express \(\frac{9}{30}\) as an equivalent fraction with a denominator of 10 . (c) Express 6 as an equivalent fraction with a denominator of 4 .

Calculate the following, expressing your answer as an improper fraction: (a) \(1 \frac{2}{5}+2 \frac{3}{4}\) (b) \(4 \frac{1}{3}+6 \frac{3}{7}\) (c) \(2 \frac{4}{5}-1 \frac{2}{3}\) (d) \(6 \frac{1}{2}-3 \frac{3}{4}+2 \frac{1}{5}\) (e) \(3 \frac{1}{3}-4 \frac{4}{9}\)

Express each fraction as an equivalent fraction with a denominator of 32 : (a) \(\frac{1}{16}\) (b) \(\frac{3}{8}\) (c) \(\frac{1}{4}\)

Express each of the following improper fractions as mixed fractions: (a) \(\frac{20}{3}\) (b) \(\frac{32}{7}\) (c) \(\frac{60}{9}\) (d) \(\frac{102}{50}\) (e) \(\frac{120}{11}\)

Calculate (a) \(\frac{3}{4}+\frac{1}{3}\) (b) \(\frac{1}{2}+\frac{3}{5}\) (c) \(\frac{5}{6}-\frac{1}{3}\) (d) \(\frac{10}{11}-\frac{1}{2}\) (e) \(\frac{4}{7}+\frac{1}{2}-\frac{2}{3}\)