To simplify the expression \( \frac{5}{3}(15x - 12) \), follow these steps:

1. Distribute \( \frac{5}{3} \) to both terms inside the parentheses:
   \[
   \frac{5}{3} \times 15x = \frac{5 \times 15x}{3} = 25x
   \]
   \[
   \frac{5}{3} \times (-12) = \frac{5 \times (-12)}{3} = -20
   \]

2. Combine the results:
   \[
   25x - 20
   \]

Thus, the simplified expression is:
\[
25x - 20
\]

Would you like any additional details or further clarification?

Here are 5 related questions:
1. How do you factor the expression \( 25x - 20 \)?
2. Can you solve \( 25x - 20 = 0 \) for \( x \)?
3. What would happen if you multiplied \( \frac{5}{3} \) by a binomial with three terms?
4. How do you simplify an expression with fractional coefficients like \( \frac{7}{4}(8x - 2) \)?
5. How would the result change if the expression were \( \frac{4}{5}(15x - 12) \)?

**Tip:** Always distribute carefully when dealing with fractions to avoid mistakes in simplifying.

Learn how to simplify the algebraic expression 5/3(15x-12) by applying the distributive property and working with fractions. This step-by-step solution is ideal for students in Grades 6-8 looking to strengthen their algebra skills.

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