Let's solve the expression step by step:

Given:  
\[
40 + \frac{24}{56}x + 72
\]

### Step 1: Simplify the fraction \(\frac{24}{56}\)
\[
\frac{24}{56} = \frac{3}{7}
\]
So the expression becomes:
\[
40 + \frac{3}{7}x + 72
\]

### Step 2: Combine like terms
The constant terms are 40 and 72:
\[
40 + 72 = 112
\]
Thus, the expression is simplified to:
\[
112 + \frac{3}{7}x
\]

So, the simplified expression is:
\[
112 + \frac{3}{7}x
\]

Would you like to see more details or ask any questions?

Here are 5 related questions:
1. How do you simplify fractions like \(\frac{24}{56}\)?
2. What does combining like terms mean in algebra?
3. How do you handle more complex fractions in algebraic expressions?
4. How can we further solve this expression if \(x\) were given a value?
5. What is the importance of the order of operations in simplifying expressions?

**Tip:** Always simplify fractions as early as possible to make your calculations easier!

Learn how to simplify the algebraic expression 40 + 24/56x + 72 step by step. This solution involves simplifying fractions, combining like terms, and understanding basic algebraic concepts. Ideal for students in Grades 6-8 looking to reinforce their algebra skills.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation