Math Problem Statement

1/5(4m+20). Combine like terms

Solution

To simplify 15(4m+20)\frac{1}{5}(4m + 20), follow these steps:

  1. Distribute 15\frac{1}{5} to each term inside the parentheses: 15×4m+15×20\frac{1}{5} \times 4m + \frac{1}{5} \times 20

  2. Perform the multiplication: 4m5+4\frac{4m}{5} + 4

So, the simplified expression is: 4m5+4\frac{4m}{5} + 4

Would you like more details or have any questions?

Here are 5 related questions:

  1. How would you simplify 15(5m+15)\frac{1}{5}(5m + 15)?
  2. Can you factor 4m5+4\frac{4m}{5} + 4 any further?
  3. What is the value of the expression if m=10m = 10?
  4. How does distribution work when there is a negative sign outside the parentheses?
  5. How would the process change if it were 25(4m+20)\frac{2}{5}(4m + 20)?

Tip: When distributing fractions, apply the fraction to each term inside the parentheses individually to simplify step by step.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification
Distribution

Formulas

a(b + c) = ab + ac

Theorems

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Suitable Grade Level

Grades 6-8