which fraction is a unit rate you can use to solve a ratio problem
3/4
7/5
27/1
1/27
1/27 is the fraction that is a unit rate.
The fraction that represents a unit rate can be found by finding the reciprocal of the ratio. So, in order to determine which fraction is a unit rate, you need to find the reciprocal of each option:
For 3/4, the reciprocal is 4/3.
For 7/5, the reciprocal is 5/7.
For 27/1, the reciprocal is 1/27.
For 1/27, the reciprocal is 27/1.
So, the fraction that represents a unit rate and can be used to solve a ratio problem is 27/1.
To find a unit rate that can be used to solve a ratio problem, we need to identify a fraction where the denominator represents a single unit or quantity. In other words, we are looking for a fraction where the numerator and denominator have a direct relationship of one-to-one.
Let's examine the given fractions:
1) 3/4 - This fraction does not represent a unit rate as the denominator does not represent a single unit.
2) 7/5 - Similar to the previous fraction, the numerator and denominator do not have a one-to-one relationship, so it is not a unit rate.
3) 27/1 - In this fraction, the denominator is 1, which represents a single unit. This means that the numerator, 27, is the value equivalent to one unit. So, this fraction, 27/1, is a unit rate that can be used to solve a ratio problem.
4) 1/27 - Unlike the previous fraction, the numerator is now 1, representing a single unit. However, the denominator is 27, which means that one unit is equivalent to 1/27. While this fraction gives us a unit rate, it may not be as useful for solving a ratio problem.
In conclusion, the fraction 27/1 is a unit rate that can be used to solve a ratio problem.