To simplify the expression \( \frac{10(9x + 3)}{5} \), follow these steps:

1. Distribute the \(10\) inside the parentheses:
   \[
   10(9x + 3) = 10 \cdot 9x + 10 \cdot 3 = 90x + 30
   \]
   
2. Now, simplify the fraction:
   \[
   \frac{90x + 30}{5}
   \]

3. Divide each term by 5:
   \[
   \frac{90x}{5} + \frac{30}{5} = 18x + 6
   \]

So, the simplified expression is:
\[
18x + 6
\]

Would you like further details or have any questions?

Here are 5 related questions you could explore:
1. How would the expression change if the coefficient of \(x\) was different, say \(7x\) instead of \(9x\)?
2. How do you factor the expression \(18x + 6\)?
3. What if the entire original expression was squared, how would you simplify it then?
4. Can you solve \(18x + 6 = 0\) for \(x\)?
5. How would the simplification change if you had an additional constant in the denominator, say \( \frac{10(9x+3)}{5 + c} \)?

**Tip**: Always distribute multiplication over addition before simplifying the fractions.

Learn how to simplify the algebraic expression 10(9x + 3) / 5 step by step. This tutorial covers key algebraic concepts such as the distributive property and fraction simplification, suitable for students in Grades 8-10.

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