A student has completed 39 out of 48 questions on a test, represented by the fraction 39/48.

Which fraction is equivalent to 39/484.

12/22

13/16

20/26

or 17/24

To find which fraction is equivalent to \( \frac{39}{48} \), we first simplify it.

### Step 1: Simplify \( \frac{39}{48} \)
Find the greatest common divisor (GCD) of 39 and 48. The factors of 39 are 1, 3, 13, and 39, and the factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. The GCD is 3.

Now divide both the numerator and denominator by 3:

\[
\frac{39}{48} = \frac{39 \div 3}{48 \div 3} = \frac{13}{16}
\]

Thus, the simplified form of \( \frac{39}{48} \) is \( \frac{13}{16} \).

### Conclusion:
The fraction equivalent to \( \frac{39}{48} \) is \( \frac{13}{16} \), so the correct answer is:

\[
\boxed{\frac{13}{16}}
\]

Would you like further details or explanations? Here are 5 related questions:

1. How do you find the greatest common divisor (GCD) of two numbers?
2. What is the process to simplify fractions?
3. How can you convert an improper fraction to a mixed number?
4. Why is simplifying fractions important in solving problems?
5. How do you determine if two fractions are equivalent?

**Tip:** Always check if you can simplify a fraction by dividing both the numerator and denominator by their GCD.

A student has completed 39 out of 48 questions on a test, represented by the fraction 39/48. Which fraction is equivalent to 39/48? 12/22, 13/16, 20/26, or 17/24?

Discover how to simplify the fraction 39/48 by using the Greatest Common Divisor (GCD) method. This detailed step-by-step guide explains how 39/48 simplifies to 13/16, covering key concepts in fraction simplification. Perfect for students in Grades 5-7.

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