A unit rate is a comparison of two measurements in which one of the measurements is expressed as a quantity of one. To determine which of the given fractions is a unit rate, we need to identify the fraction that simplifies to a quantity per one unit (e.g., "x per 1").
Let's analyze the options:
- \( \frac{1}{27} \) - This is a unit rate that represents "1 per 27."
- \( \frac{7}{5} \) - This does not represent a rate per one; it's simply a ratio.
- \( \frac{27}{1} \) - This simplifies to "27 per 1," which is a unit rate.
- \( 34 \) - This is simply a number, not a fraction, and does not represent a rate.
From the above, both \( \frac{1}{27} \) and \( \frac{27}{1} \) can be considered unit rates, but traditionally a unit rate refers to the value per one unit in the denominator, so \( \frac{27}{1} \) is a clear unit rate.
So, the best answer for a unit rate in this context is:
\( \frac{27}{1} \).