A unit rate is a ratio that compares a quantity to one unit of another quantity. In fraction terms, a unit rate can be expressed as a fraction of the form \( \frac{a}{1} \).
Among the options provided, none of the fractions represent a unit rate directly since they all have numerators different from 1. However, if we can convert any of these fractions to a form representing a single unit, that would be our approach.
That said, if we need to determine which fraction could be used in a scenario involving a ratio problem leading towards a unit rate:
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Start Fraction 3 over 4 End Fraction ( \( \frac{3}{4} \) ) indicates that for every 4 units of something, there are 3 units of another. To express a unit rate, you would need to divide by 4, leading to \( \frac{3/4}{1} \).
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Start Fraction 1 over 27 End Fraction ( \( \frac{1}{27} \) ) represents a direct unit rate of 1 unit being compared to 27 units of another measure, meaning for every 27 units, there is 1 unit.
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Start Fraction 7 over 5 End Fraction ( \( \frac{7}{5} \) ) signifies for every 5 units, there are 7 units of another measure. It could lead toward a unit rate, but you’d need to divide.
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271 would imply a whole number and does not represent a ratio.
The most clearly defined unit rate among these fractions is Start Fraction 1 over 27 End Fraction ( \( \frac{1}{27} \) ) because it represents a relationship where 1 of one item corresponds to 27 of another, fulfilling the criteria for a unit rate.