Question 48

Fill in the box.

$$\square - 3\frac{5}{6} = 2\frac{4}{5}$$

Solution

The missing number is $$2\frac{4}{5} + 3\frac{5}{6}$$. Adding whole parts gives 5, and the fractional parts give $$\frac{4}{5} + \frac{5}{6} = \frac{24}{30} + \frac{25}{30} = \frac{49}{30} = 1\frac{19}{30}$$. So the box is $$5 + 1\frac{19}{30} = 6\frac{19}{30}$$.

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