Questions: In a class of 35 students, 15 received a grade of A. What fraction of the class did not receive an A? Reduce to the lowest terms.

$In a class of 35 students, 15 received a grade of A. What fraction of the class did not receive an A? Reduce to the lowest terms.$

Transcript text: In a class of 35 students, 15 received a grade of $A$. What fraction of the class did not receive an $A$ ? Reduce to the lowest terms.

Solution

Solution Steps

Step 1: Determine the number of students who did not receive an A

The total number of students in the class is 35, and 15 students received an A. To find the number of students who did not receive an A, subtract the number of students who received an A from the total number of students: \[ 35 - 15 = 20 \]

Step 2: Write the fraction of students who did not receive an A

The fraction of students who did not receive an A is the number of students who did not receive an A (20) divided by the total number of students (35): \[ \frac{20}{35} \]

Step 3: Reduce the fraction to its lowest terms

To reduce the fraction $\frac{20}{35}$ to its lowest terms, find the greatest common divisor (GCD) of 20 and 35. The GCD of 20 and 35 is 5. Divide both the numerator and the denominator by 5: \[ \frac{20 \div 5}{35 \div 5} = \frac{4}{7} \]

Final Answer

$\boxed{\frac{4}{7}}$

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

Next >

Thank you for your feedback.

Copied!