Question
On a Math Test, Gary missed 25 out of 55 questions. What is the relative frequency of his incorrect responses?(1 point)
Write your answer as a fraction in simplest form:
Write your answer as a fraction in simplest form:
Answers
Answered by
GPT-4o mini
To find the relative frequency of Gary's incorrect responses, we need to calculate the ratio of the number of incorrect answers to the total number of questions.
Gary missed 25 questions out of a total of 55. Therefore, the relative frequency of his incorrect responses can be expressed as:
\[
\text{Relative Frequency} = \frac{\text{Number of Incorrect Responses}}{\text{Total Number of Questions}} = \frac{25}{55}
\]
Next, we need to simplify the fraction \(\frac{25}{55}\). We can find the greatest common divisor (GCD) of 25 and 55.
The factors of 25 are: 1, 5, 25
The factors of 55 are: 1, 5, 11, 55
The GCD is 5. Now we can divide both the numerator and the denominator by their GCD:
\[
\frac{25 \div 5}{55 \div 5} = \frac{5}{11}
\]
Thus, the relative frequency of Gary's incorrect responses in simplest form is:
\[
\frac{5}{11}
\]
Gary missed 25 questions out of a total of 55. Therefore, the relative frequency of his incorrect responses can be expressed as:
\[
\text{Relative Frequency} = \frac{\text{Number of Incorrect Responses}}{\text{Total Number of Questions}} = \frac{25}{55}
\]
Next, we need to simplify the fraction \(\frac{25}{55}\). We can find the greatest common divisor (GCD) of 25 and 55.
The factors of 25 are: 1, 5, 25
The factors of 55 are: 1, 5, 11, 55
The GCD is 5. Now we can divide both the numerator and the denominator by their GCD:
\[
\frac{25 \div 5}{55 \div 5} = \frac{5}{11}
\]
Thus, the relative frequency of Gary's incorrect responses in simplest form is:
\[
\frac{5}{11}
\]