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Adding and Subtracting mixed number fractions - Variation Theory - Free Printable

Adding and Subtracting mixed number fractions - Variation Theory

Educational worksheet: Adding and Subtracting mixed number fractions - Variation Theory. Download and print for classroom or home learning activities.

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1. $1\frac{1}{2} + 1\frac{1}{3} = \frac{3}{2} + \frac{4}{3} = \frac{9}{6} + \frac{8}{6} = \frac{17}{6} = 2\frac{5}{6}$

2. $1\frac{1}{2} + 1\frac{1}{4} = \frac{3}{2} + \frac{5}{4} = \frac{6}{4} + \frac{5}{4} = \frac{11}{4} = 2\frac{3}{4}$

3. $1\frac{1}{2} + 1\frac{1}{5} = \frac{3}{2} + \frac{6}{5} = \frac{15}{10} + \frac{12}{10} = \frac{27}{10} = 2\frac{7}{10}$

4. $2\frac{1}{2} + 2\frac{1}{5} = \frac{5}{2} + \frac{11}{5} = \frac{25}{10} + \frac{22}{10} = \frac{47}{10} = 4\frac{7}{10}$

5. $2\frac{1}{7} + 1\frac{1}{3} = \frac{15}{7} + \frac{4}{3} = \frac{45}{21} + \frac{28}{21} = \frac{73}{21} = 3\frac{10}{21}$

6. $1\frac{x}{2} + 1\frac{2x}{2} = \frac{2 + x}{2} + \frac{2 + 2x}{2} = \frac{2 + x + 2 + 2x}{2} = \frac{4 + 3x}{2} = 2 + \frac{3x}{2}$

7. $2\frac{1}{2} - 1\frac{1}{3} = \frac{5}{2} - \frac{4}{3} = \frac{15}{6} - \frac{8}{6} = \frac{7}{6} = 1\frac{1}{6}$

8. $2\frac{1}{2} - 1\frac{1}{4} = \frac{5}{2} - \frac{5}{4} = \frac{10}{4} - \frac{5}{4} = \frac{5}{4} = 1\frac{1}{4}$

9. $2\frac{1}{2} - 2\frac{1}{4} = \frac{5}{2} - \frac{9}{4} = \frac{10}{4} - \frac{9}{4} = \frac{1}{4}$

10. $2\frac{1}{4} - 2\frac{1}{2} = \frac{9}{4} - \frac{5}{2} = \frac{9}{4} - \frac{10}{4} = -\frac{1}{4}$

11. $3\frac{1}{5} - 2\frac{1}{2} = \frac{16}{5} - \frac{5}{2} = \frac{32}{10} - \frac{25}{10} = \frac{7}{10}$

12. $2\frac{2x}{2} - 1\frac{x}{2} = \frac{4 + 2x}{2} - \frac{2 + x}{2} = \frac{4 + 2x - 2 - x}{2} = \frac{2 + x}{2} = 1 + \frac{x}{2}$
Parent Tip: Review the logic above to help your child master the concept of subtracting fractions with whole numbers.
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