1. $\frac{1}{4} \times \frac{5}{6} - \frac{1}{6} = \frac{5}{24} - \frac{1}{6} = \frac{5}{24} - \frac{4}{24} = \frac{1}{24}$
2. $\frac{3}{5} \div \frac{5}{6} + \frac{1}{5} = \frac{3}{5} \times \frac{6}{5} + \frac{1}{5} = \frac{18}{25} + \frac{1}{5} = \frac{18}{25} + \frac{5}{25} = \frac{23}{25}$
3. $\left(\frac{2}{5} + \frac{8}{9}\right) \times \frac{1}{2} = \left(\frac{18}{45} + \frac{40}{45}\right) \times \frac{1}{2} = \frac{58}{45} \times \frac{1}{2} = \frac{58}{90} = \frac{29}{45}$
4. $\frac{7}{9} + \frac{4}{5} \times \frac{4}{9} = \frac{7}{9} + \frac{16}{45} = \frac{35}{45} + \frac{16}{45} = \frac{51}{45} = \frac{17}{15}$
5. $\frac{4}{5} - \frac{3}{5} \div \frac{5}{6} = \frac{4}{5} - \frac{3}{5} \times \frac{6}{5} = \frac{4}{5} - \frac{18}{25} = \frac{20}{25} - \frac{18}{25} = \frac{2}{25}$
6. $\frac{3}{5} \times \left(\frac{1}{2} + \frac{2}{9}\right) = \frac{3}{5} \times \left(\frac{9}{18} + \frac{4}{18}\right) = \frac{3}{5} \times \frac{13}{18} = \frac{39}{90} = \frac{13}{30}$
7. $\left(\frac{5}{6} + \frac{2}{5}\right) \div \frac{3}{4} = \left(\frac{25}{30} + \frac{12}{30}\right) \div \frac{3}{4} = \frac{37}{30} \times \frac{4}{3} = \frac{148}{90} = \frac{74}{45}$
8. $\frac{5}{8} \times \frac{2}{9} + \frac{1}{2} = \frac{10}{72} + \frac{1}{2} = \frac{5}{36} + \frac{1}{2} = \frac{5}{36} + \frac{18}{36} = \frac{23}{36}$
9. $\frac{3}{5} + \frac{3}{4} \div \frac{1}{6} = \frac{3}{5} + \frac{3}{4} \times 6 = \frac{3}{5} + \frac{18}{4} = \frac{3}{5} + \frac{9}{2} = \frac{6}{10} + \frac{45}{10} = \frac{51}{10}$
Parent Tip: Review the logic above to help your child master the concept of fraction mixed operations worksheet.
