The fraction \(\frac{461}{120}\) can be simplified or converted into a mixed number.

First, let's see if it can be simplified by finding the greatest common divisor (GCD) of 461 and 120. Since 461 is a prime number and doesn't divide evenly into 120, the fraction cannot be simplified further.

Now, let's convert it into a mixed number:

1. Divide 461 by 120. The quotient is 3 (because \(120 \times 3 = 360\)).
2. Subtract \(360\) from \(461\) to find the remainder: \(461 - 360 = 101\).
3. So, \(\frac{461}{120}\) can be written as the mixed number \(3 \frac{101}{120}\).

So, the simplified answer is:

\[
\frac{461}{120} = 3 \frac{101}{120}
\]

Would you like more details or have any questions? 

Here are 5 related questions:
1. How do you simplify a fraction?
2. What is the process of converting an improper fraction to a mixed number?
3. What is the GCD, and how is it used in simplifying fractions?
4. How can you convert a mixed number back into an improper fraction?
5. Can all fractions be simplified?

**Tip:** When simplifying fractions, always check if the numerator and denominator share any common factors.

Learn how to simplify and convert the fraction 461/120 into a mixed number. This problem covers key concepts in fractions, including simplification, conversion to mixed numbers, and the use of GCD. Suitable for students in Grades 6-8.

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