To simplify the expression \( 20 \left( \frac{1}{5}w + \frac{3}{4} \right) \), we distribute the 20 to both terms inside the parentheses:

\[
20 \times \frac{1}{5}w + 20 \times \frac{3}{4}
\]

Now, calculate each term:

1. \( 20 \times \frac{1}{5}w = 4w \)
2. \( 20 \times \frac{3}{4} = 15 \)

Thus, the simplified expression is:

\[
4w + 15
\]

Would you like more details on the distribution process or any other clarification?

Here are 5 related questions to expand your understanding:
1. What happens if the expression had subtraction instead of addition?
2. How do you factor an expression like \(4w + 15\)?
3. How would the result change if the coefficient of \( w \) was negative?
4. What if there were more terms inside the parentheses?
5. Can this process be used for quadratic expressions?

**Tip**: Always perform distribution carefully, handling each term separately to avoid errors.

Learn how to simplify the expression 20(1/5w + 3/4) by applying the distributive property. This step-by-step guide explains how to distribute 20 to each term inside the parentheses, resulting in 4w + 15. Ideal for students in Grades 6-8 studying algebra and expression simplification.

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