The expression you've provided is \(\frac{1}{4}(6x + 3a + 4)\). To simplify it, you distribute \(\frac{1}{4}\) to each term inside the parentheses:

\[
\frac{1}{4} \times 6x + \frac{1}{4} \times 3a + \frac{1}{4} \times 4
\]

Simplifying each term:

\[
\frac{6x}{4} + \frac{3a}{4} + \frac{4}{4}
\]

Which simplifies further to:

\[
\frac{3x}{2} + \frac{3a}{4} + 1
\]

So, the simplified expression is:

\[
\frac{3x}{2} + \frac{3a}{4} + 1
\]

Would you like more details on any part of this process, or do you have any questions?

Here are 5 related questions:
1. How do you factor out a common term in an algebraic expression?
2. What is the distributive property in algebra?
3. How would you simplify \(\frac{1}{3}(9y + 6b - 12)\)?
4. Can you explain how to combine like terms in an expression?
5. What happens when you multiply a fraction by a whole number?

**Tip:** When simplifying expressions, always distribute coefficients to each term within the parentheses carefully to avoid mistakes.

Learn how to simplify the expression 1/4(6x + 3a + 4) step-by-step. This problem involves the distributive property of multiplication over addition and fraction multiplication. Suitable for students in Grades 6-8.

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