The expression you provided is:

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

To simplify or combine these terms, we first need a common denominator. The denominators are \(6a\) and \(3\).

To make the denominator the same for both fractions, the least common denominator (LCD) will be \(6a\), since \(6a\) is the least common multiple of \(6a\) and \(3\).

Now, let's rewrite the second fraction with the common denominator:

\[
\frac{4}{3} = \frac{4 \times 2a}{3 \times 2a} = \frac{8a}{6a}
\]

Now, the expression becomes:

\[
\frac{1}{6a} + \frac{8a}{6a}
\]

Since both fractions now have the same denominator, we can combine them:

\[
\frac{1 + 8a}{6a}
\]

So, the simplified expression is:

\[
\frac{1 + 8a}{6a}
\]

Would you like any further details or have any questions?

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Here are 5 related questions for further exploration:

1. How would you simplify \(\frac{2}{3a} + \frac{5}{4}\)?
2. What is the common denominator for \(\frac{1}{2x}\) and \(\frac{3}{4}\)?
3. How do you add \(\frac{3}{7}\) and \(\frac{2}{9b}\)?
4. How do you subtract \(\frac{5}{2}\) from \(\frac{3}{4a}\)?
5. Can you multiply \(\frac{2}{3}\) by \(\frac{4}{5a}\) and simplify?

**Tip:** When adding or subtracting fractions, always find the least common denominator (LCD) to combine them easily.

Learn how to add fractions with different denominators by finding the least common denominator (LCD). This example combines the fractions 1/(6a) and 4/3 step-by-step, suitable for students in Grades 6-8.

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