https://r2.erweima.ai/mathbot/image/1726272444525kg1brjwf.jpg

Let's analyze and simplify the expression given in the image:

\[
\frac{16xyz}{8x^2z}
\]

### Step-by-step simplification:

1. **Cancel out common terms**:
   - The term \( x \) appears in both the numerator and denominator. Since \( x^2 \) is in the denominator, dividing \( 16xyz \) by \( x^2 \) leaves us with \( \frac{1}{x} \) in the denominator.
   - Similarly, the term \( z \) is present in both the numerator and denominator, so it cancels out.

2. **Simplify the coefficient**:
   - \( \frac{16}{8} = 2 \).

### The simplified expression is:

\[
\frac{16xyz}{8x^2z} = \frac{2y}{x}
\]

Thus, the correct answer is:

\[
\boxed{\frac{2y}{x}}
\]

Would you like further details or have any questions?

Here are 5 related questions to expand this topic:
1. How would you simplify \( \frac{24x^2yz}{12x^3z} \)?
2. What happens if both the numerator and denominator have a common factor involving addition or subtraction?
3. How do you simplify expressions with more than two variables, such as \( \frac{18abc}{6a^2bc} \)?
4. What are the steps to factorize a complex expression before simplification?
5. How would you approach simplifying \( \frac{5x^3 + 2x^2}{x^2} \)?

**Tip**: Always look for common factors in both the numerator and denominator before simplifying any expression.

Learn how to simplify the algebraic expression (16xyz)/(8x^2z) by canceling out common terms and coefficients. A detailed step-by-step solution for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation