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Fraction arithmetic practice problems on a worksheet.

A worksheet with six mathematical expressions involving fractions, including addition, subtraction, multiplication, division, and parentheses, displayed in a clean, organized layout on a white background.

A worksheet with six mathematical expressions involving fractions, including addition, subtraction, multiplication, division, and parentheses, displayed in a clean, organized layout on a white background.

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Show Answer Key & Explanations Step-by-step solution for: Order of Operations with Fractions worksheet
- $\frac{1}{4} \times \frac{5}{6} - \frac{1}{6} = \frac{5}{24} - \frac{4}{24} = \frac{1}{24}$
- $\frac{3}{5} \div \frac{5}{6} + \frac{1}{5} = \frac{3}{5} \times \frac{6}{5} + \frac{1}{5} = \frac{18}{25} + \frac{5}{25} = \frac{23}{25}$
- $(\frac{2}{5} + \frac{8}{9}) \times \frac{1}{2} = (\frac{18}{45} + \frac{40}{45}) \times \frac{1}{2} = \frac{58}{45} \times \frac{1}{2} = \frac{29}{45}$
- $\frac{7}{9} + \frac{4}{5} \times \frac{4}{9} = \frac{7}{9} + \frac{16}{45} = \frac{35}{45} + \frac{16}{45} = \frac{51}{45} = \frac{17}{15}$
- $\frac{4}{5} - \frac{3}{5} \div \frac{5}{6} = \frac{4}{5} - \frac{3}{5} \times \frac{6}{5} = \frac{4}{5} - \frac{18}{25} = \frac{20}{25} - \frac{18}{25} = \frac{2}{25}$
- $\frac{3}{5} \times (\frac{1}{2} + \frac{2}{9}) = \frac{3}{5} \times (\frac{9}{18} + \frac{4}{18}) = \frac{3}{5} \times \frac{13}{18} = \frac{39}{90} = \frac{13}{30}$
- $(\frac{5}{6} + \frac{2}{5}) \div \frac{3}{4} = (\frac{25}{30} + \frac{12}{30}) \div \frac{3}{4} = \frac{37}{30} \times \frac{4}{3} = \frac{148}{90} = \frac{74}{45}$
- $\frac{5}{8} \times \frac{2}{9} + \frac{1}{2} = \frac{10}{72} + \frac{1}{2} = \frac{5}{36} + \frac{18}{36} = \frac{23}{36}$
- $\frac{3}{5} + \frac{3}{4} \div \frac{1}{6} = \frac{3}{5} + \frac{3}{4} \times 6 = \frac{3}{5} + \frac{18}{4} = \frac{3}{5} + \frac{9}{2} = \frac{6}{10} + \frac{45}{10} = \frac{51}{10}$
Parent Tip: Review the logic above to help your child master the concept of order of operations with fractions worksheet.
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