
	  9w
- ––
  4		·	7v – 1
––––––
15

The given expression is:

\[
\frac{9w}{4} \cdot \frac{7v - 1}{15}
\]

Let's simplify this step by step:

### Step 1: Multiply the two fractions

\[
\frac{9w}{4} \cdot \frac{7v - 1}{15} = \frac{9w(7v - 1)}{4 \cdot 15}
\]

### Step 2: Simplify the denominator

\[
4 \cdot 15 = 60
\]

Now the expression becomes:

\[
\frac{9w(7v - 1)}{60}
\]

### Step 3: Factor and reduce

Since \(9\) and \(60\) have a common factor of 3, we can simplify:

\[
\frac{9}{60} = \frac{3}{20}
\]

Thus, the simplified expression is:

\[
\frac{3w(7v - 1)}{20}
\]

This is the simplified form of the given expression.

Would you like more details or have any questions?

### Related questions:
1. How can I further simplify fractions like this?
2. How do you factor polynomials before multiplying?
3. What are common methods to reduce fractions?
4. How does factoring help in simplifying complex expressions?
5. Can you show similar examples with different coefficients?

**Tip:** When simplifying fractions, always check for common factors to reduce them efficiently.

Learn how to simplify the algebraic expression 9w/4 · (7v - 1)/15. This problem covers key algebraic concepts, including multiplying rational expressions and reducing fractions. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation