Which fraction is unit rate you can use to solve a ratio problem?

Options:
27/1
3/4
7/5
1/27

The fraction that represents a unit rate is 1/27.

To determine which fraction is a unit rate that can be used to solve a ratio problem, we need to identify the fraction that represents a rate of 1 unit. In other words, the denominator of the fraction should be 1.

Among the given options, the fraction that satisfies this condition is:
27/1

Therefore, the fraction 27/1 is the unit rate that can be used to solve a ratio problem.

To determine which fraction is the unit rate that can be used to solve a ratio problem, we need to understand what a unit rate is and how it relates to ratios.

A unit rate is a ratio in which the second term is one. It compares the first term to a single unit of the second term. For example, if we have a ratio of 3:6, the unit rate would be 3/1 because it signifies that for every 3 units of the first term, there is 1 unit of the second term.

Now, let's examine the given options:

1. 27/1: This fraction does not represent a unit rate because the numerator (27) is not 1 less than the denominator (1). It does not indicate a comparison with one unit of the second term.

2. 3/4: This fraction also does not represent a unit rate because the denominator (4) is not 1. It indicates a comparison with four units of the second term, rather than one.

3. 7/5: Similar to the previous options, this fraction does not represent a unit rate because the denominator (5) is not 1. It indicates a comparison with five units of the second term, not one.

4. 1/27: This fraction represents a unit rate because the numerator (1) is 1 less than the denominator (27). It signifies a comparison with one unit of the second term.

Therefore, the correct answer is 1/27.