Math Problem Statement

suppose 45 people took the final exam in a math class. If 9 people got an A on the final exam, what fraction of the students did not get an A on the exam? Write your answer in the lowest terms.

Solution

To find the fraction of students who did not get an A on the final exam, we first need to determine the number of students who did not get an A.

Total number of students: 45
Number of students who got an A: 9

Number of students who did not get an A: 459=3645 - 9 = 36

Next, we express the fraction of students who did not get an A: Fraction=3645\text{Fraction} = \frac{36}{45}

Now, we simplify the fraction by finding the greatest common divisor (GCD) of 36 and 45, which is 9: 36÷945÷9=45\frac{36 \div 9}{45 \div 9} = \frac{4}{5}

So, the fraction of students who did not get an A on the exam is 45\frac{4}{5}.

Would you like more details or have any questions?

Here are 5 related questions:

  1. If 12 more students had received an A, what fraction of the students would have received an A?
  2. What percentage of students received an A on the final exam?
  3. If half of the students who did not receive an A had received a B, how many students received a B?
  4. How would the fraction change if 5 more students had taken the exam but none received an A?
  5. What is the decimal equivalent of the fraction of students who did not get an A?

Tip: Always simplify fractions by finding the greatest common divisor to ensure they are in their lowest terms.

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Math Problem Analysis

Mathematical Concepts

Fractions
Basic Arithmetic

Formulas

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Theorems

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Suitable Grade Level

Grades 4-6