https://file.aiquickdraw.com/mathbot/file/17255302107889ls79kyw.jpg

The expression in the image is:

\[
\frac{z}{4} - z
\]

To simplify this expression, we need to combine like terms. Here's how we can do it step-by-step:

1. Rewrite \(z\) as a fraction with the same denominator, which is 4:
   \[
   z = \frac{4z}{4}
   \]

2. Substitute this into the expression:
   \[
   \frac{z}{4} - \frac{4z}{4}
   \]

3. Combine the fractions:
   \[
   \frac{z - 4z}{4} = \frac{-3z}{4}
   \]

So, the simplified expression is:

\[
\frac{-3z}{4}
\]

Would you like more details on this process, or do you have any questions?

Here are 5 related questions you might find interesting:
1. How do we simplify expressions with different denominators?
2. What are like terms, and why is it important to combine them?
3. Can we factor further to simplify this expression?
4. How would the expression change if there were coefficients involved?
5. What happens if the variable \(z\) has a specific value?

**Tip:** Always look to make common denominators when dealing with fractions for easier addition or subtraction!

Simplify the expression \(\frac{z}{4} - z\).

Explore how to simplify the algebraic expression \(\frac{z}{4} - z\) by combining like terms and working with fractions. This problem is suitable for students in Grades 7-8 and covers core algebraic concepts and fraction operations.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation