Which fraction is a unit rate you can use to solve a ratio problem?
A. 3/4
B. 27/1
C. 7/5
D. 1/27
B. 27/1
A unit rate is a fraction that represents a comparison of two quantities, where the denominator is 1. Therefore, the fraction that is a unit rate you can use to solve a ratio problem is B. 27/1.
To identify a fraction that can be used as a unit rate to solve a ratio problem, we need to understand the concept of unit rate.
A unit rate is a comparison of two quantities in which the second quantity is 1 unit. It allows us to determine the value of a single unit or part of a whole. In a ratio problem, a unit rate helps us determine the relationship between the two quantities being compared.
Let's evaluate each of the given fractions to see if they can be used as a unit rate:
A. 3/4: This fraction does not have a denominator of 1, so it cannot be used as a unit rate.
B. 27/1: This fraction has a denominator of 1, which means it can be used as a unit rate. It signifies that for every 1 unit of the first quantity, there are 27 units of the second quantity.
C. 7/5: Similar to option A, this fraction does not have a denominator of 1, so it cannot be used as a unit rate.
D. 1/27: This fraction has a denominator of 27, not 1, so it cannot be used as a unit rate.
Therefore, the fraction that can be used as a unit rate to solve a ratio problem is B. 27/1.