To simplify the expression \( \frac{6f \cdot 3 - 10f}{5} \), let's break it down:

### Step 1: Simplify the numerator
The numerator is \( 6f \cdot 3 - 10f \). First, multiply \( 6f \cdot 3 \):

\[
6f \cdot 3 = 18f
\]

So, the numerator becomes:

\[
18f - 10f
\]

Now, combine the like terms:

\[
18f - 10f = 8f
\]

### Step 2: Put the simplified numerator over the denominator
Now we have:

\[
\frac{8f}{5}
\]

This is the simplified expression.

### Final answer:
\[
\frac{8f}{5}
\]

Would you like more details or have any questions?

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Here are 5 related questions to help expand your understanding:
1. How do you simplify expressions with variables in both the numerator and denominator?
2. What is the distributive property, and how does it apply to simplifying expressions?
3. Can you simplify \( \frac{3x + 5}{x} \) in a similar way?
4. How do you combine like terms in algebraic expressions?
5. What is the difference between simplifying an expression and solving an equation?

**Tip:** When simplifying fractions, always look for common factors in the numerator and denominator that can be reduced.

Learn how to simplify the expression 6f * 3 - 10f / 5 step-by-step. This process covers key algebraic concepts such as combining like terms and simplifying fractions. Ideal for students in Grades 6-8.

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