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Question 10

The fraction to be added to $$2\frac{1}{3}$$ to get the fraction $$4\frac{4}{7}$$ is

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Converting to improper fractions, $$2\frac{1}{3} = \frac{7}{3}$$ and $$4\frac{4}{7} = \frac{32}{7}$$. The difference is $$\frac{32}{7} - \frac{7}{3} = \frac{96 - 49}{21} = \frac{47}{21} = 2\frac{5}{21}$$.

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