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Question 3

If a number is first multiplied by $$\frac{4}{7}$$ and then divided by $$\frac{12}{7}$$, then it is equivalent to which of the following operations on the number?

Let the number be $$x$$. The two operations give $$x\times\frac{4}{7}\div\frac{12}{7}=x\times\frac{4}{7}\times\frac{7}{12}=\frac{x}{3}$$, which is the same as multiplying by $$\frac{1}{3}$$.

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