Which fraction is a unit rate you can use to solve a ratio problem?
A. 7/5
B. 3/4
C. 27/1
D. 1/27
D. 1/27
A unit rate is a fraction that represents a one-to-one relationship between two quantities. To solve a ratio problem using a unit rate, you would typically use the fraction where the denominator is 1.
Looking at the options:
A. 7/5: Not a unit rate because the denominator is not 1.
B. 3/4: Not a unit rate because the denominator is not 1.
C. 27/1: This is a unit rate because the denominator is 1.
D. 1/27: Not a unit rate because the denominator is not 1.
Therefore, the fraction that is a unit rate which you can used to solve a ratio problem is C. 27/1.
To determine which fraction is a unit rate that can be used to solve a ratio problem, it is important to understand what a unit rate is. A unit rate is a fraction in which the numerator represents a single unit of measurement, and the denominator represents a corresponding quantity of another unit of measurement.
In a ratio problem, you are comparing two or more quantities. To find the unit rate, you need to identify a single unit of measurement for one of the quantities and how many of them exist in the other quantity.
Let's examine the answer choices and determine which fraction meets this criteria:
A. 7/5 - This fraction does not represent a unit rate since it does not have a numerator that represents a single unit of measurement.
B. 3/4 - Similarly, this fraction does not represent a unit rate since it does not have a numerator that represents a single unit of measurement.
C. 27/1 - This fraction does represent a unit rate because it has a numerator of 27, which represents 27 units of measurement, and a denominator of 1, representing a corresponding quantity of another unit of measurement. Therefore, this fraction can solve a ratio problem as a unit rate.
D. 1/27 - This fraction does not represent a unit rate because the numerator of 1 does not represent a significant quantity compared to the denominator of 27.
Based on the analysis, the correct answer would be C. 27/1 since it is the only fraction that represents a unit rate.