ExplanationA ratio is a part-to-part relationship, but it can be expressed and manipulated just like a fraction—in this case,

3 \div 3\frac{1}{2}. None of the answers have a fractional value in the denominator, so you need to find a multiplier that will get rid of the fraction. In this case, just doubling the entire ratio will do the trick:

3 \div 3\frac{1}{2} \times \frac{2}{2} = \frac{4}{7}.

Hence option C is correct!
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Sandy

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