The expression \( \frac{6ab}{4a} \) can be simplified by canceling out the common factor between the numerator and denominator.

Step-by-step simplification:

1. Identify the common factors: Both the numerator and denominator contain the factor \( a \).
2. Cancel out \( a \) from both the numerator and denominator.

\[
\frac{6ab}{4a} = \frac{6b}{4}
\]

3. Simplify \( \frac{6}{4} \) by dividing both the numerator and denominator by their greatest common divisor, which is 2.

\[
\frac{6b}{4} = \frac{3b}{2}
\]

So, the simplified form of \( \frac{6ab}{4a} \) is:

\[
\frac{3b}{2}
\]

Would you like further details or have any questions? Here are some related questions for further practice:

1. Simplify \( \frac{8xy}{4x} \).
2. Simplify \( \frac{12abc}{6a} \).
3. Simplify \( \frac{9pq}{3p} \).
4. Simplify \( \frac{10mn}{5n} \).
5. Simplify \( \frac{15xyz}{5x} \).

**Tip:** Always look for common factors to simplify expressions efficiently.

Learn how to simplify the algebraic expression 6ab/4a. This step-by-step solution explains how to cancel common factors and simplify the fraction, resulting in the expression 3b/2. Ideal for students in Grades 6-8 studying algebraic simplifications.

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