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Question 6

The sum of the numbers in the three brackets ( ) is $$\frac{( )}{24} = \frac{20}{( )} = \frac{24}{18} = \frac{4}{( )}$$

Solution

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Simplifying $$\frac{24}{18} = \frac{4}{3}$$ shows every fraction equals $$\frac{4}{3}$$. The first bracket is $$24 \times \frac{4}{3} = 32$$, the second is $$20 \div \frac{4}{3} = 15$$, and the third is $$4 \div \frac{4}{3} = 3$$. Their sum is $$32 + 15 + 3 = 50$$.

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