The expression you provided is:

\[
3 + \frac{1}{4} - \frac{2}{12}
\]

Let's simplify this step by step.

1. First, simplify \(\frac{2}{12}\):

\[
\frac{2}{12} = \frac{1}{6}
\]

Now, the expression becomes:

\[
3 + \frac{1}{4} - \frac{1}{6}
\]

2. To combine the fractions, find a common denominator for \(\frac{1}{4}\) and \(\frac{1}{6}\). The least common denominator (LCD) of 4 and 6 is 12.

- Convert \(\frac{1}{4}\) to \(\frac{3}{12}\)
- Convert \(\frac{1}{6}\) to \(\frac{2}{12}\)

Now, the expression becomes:

\[
3 + \frac{3}{12} - \frac{2}{12}
\]

3. Subtract \(\frac{2}{12}\) from \(\frac{3}{12}\):

\[
\frac{3}{12} - \frac{2}{12} = \frac{1}{12}
\]

4. Finally, add this to 3:

\[
3 + \frac{1}{12} = \frac{36}{12} + \frac{1}{12} = \frac{37}{12}
\]

So, the result is:

\[
\frac{37}{12}
\]

This can also be written as:

\[
3 \frac{1}{12}
\]

Let me know if you want more details or have any questions!

Here are 5 related questions:
1. How do you add and subtract fractions with different denominators?
2. What are mixed numbers, and how do you convert improper fractions to mixed numbers?
3. How can you simplify fractions before adding or subtracting them?
4. What is the least common denominator, and how do you find it?
5. How would you solve a more complex fraction expression, such as \( \frac{5}{8} + \frac{3}{5} - \frac{2}{3} \)?

**Tip:** Always simplify fractions first if possible, as it makes calculations easier.

Learn how to simplify the fraction expression 3 + 1/4 - 2/12 step-by-step. This problem teaches key arithmetic concepts like fraction addition and subtraction with different denominators and the simplification of fractions. Suitable for students in Grades 5-7.

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