Grade 6 Common Fractions Test

Simplify the following fractions: a) \(\frac{12}{16}\) b) \(\frac{18}{24}\) c) \(\frac{45}{60}\)

Find two equivalent fractions for each of the following: a) \(\frac{3}{5}\) b) \(\frac{4}{7}\) c) \(\frac{2}{3}\)

Add or subtract the following fractions. Simplify your answers if possible: a) \(\frac{2}{5} + \frac{3}{10}\) b) \(\frac{7}{12} - \frac{1}{4}\) c) \(\frac{3}{8} + \frac{5}{16}\)

Multiply or divide the following fractions. Simplify your answers if possible: a) \(\frac{3}{4} \times \frac{2}{5}\) b) \(\frac{6}{7} \div \frac{3}{14}\) c) \(\frac{5}{8} \times \frac{16}{25}\)

Convert the following mixed numbers to improper fractions: a) \(2 \frac{3}{5}\) b) \(1 \frac{7}{8}\) c) \(3 \frac{1}{4}\)

Convert the following improper fractions to mixed numbers: a) \(\frac{11}{4}\) b) \(\frac{9}{5}\) c) \(\frac{14}{3}\)

Solve the following word problems: a) Sally has \(\frac{3}{4}\) of a chocolate bar. She wants to share it equally with her friend. How much of the chocolate bar will each person get? b) A recipe calls for \(\frac{2}{3}\) cup of sugar. If you want to make half of the recipe, how much sugar do you need? c) John ran \(\frac{5}{6}\) of a mile on Monday and \(\frac{2}{3}\) of a mile on Tuesday. How much distance did he run in total?