Instructions

What will come in place of the question mark(?) in the following questions ?

Question 89

$$8\frac{1}{3} \times 4\frac{2}{5}+?=44\frac{2}{5}$$

Solution

Let the number to replace the question mark be equal to $$X$$

So, $$8\frac{1}{3} \times 4\frac{2}{5}+X=44\frac{2}{5}$$
Hence, $$\frac{25}{3} \times \frac{22}{5} + X = \frac{222}{5}$$
Or, $$\frac{550}{15} + X = \frac{222}{5}$$

So, $$X = \frac{222}{5} - \frac{550}{15} = \frac{666 - 550} {15} = \frac{116}{15} = 7 \frac{11}{15}$$


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