https://file.aiquickdraw.com/mathbot/file/1730598289839pwjf8xhm.jpg

To solve the equation using the Cross-Multiplication Property of Proportions, we start by setting up the proportion correctly.

### Problem Statement:
Given:
\[
\frac{x}{2} = \frac{2.5}{\frac{5}{4}}
\]

### Step 1: Simplify the Right-Hand Side
First, let's simplify \(\frac{2.5}{\frac{5}{4}}\):
\[
\frac{2.5}{\frac{5}{4}} = 2.5 \times \frac{4}{5}
\]
Now calculate \(2.5 \times \frac{4}{5}\):
\[
2.5 \times \frac{4}{5} = \frac{2.5 \times 4}{5} = \frac{10}{5} = 2
\]
So, the equation simplifies to:
\[
\frac{x}{2} = 2
\]

### Step 2: Solve for \(x\) by Cross-Multiplying
Now, multiply both sides by 2 to isolate \(x\):
\[
x = 2 \times 2 = 4
\]

### Solution:
The value of \(x\) is:
\[
x = 4
\]

Would you like more details or have any questions?

---

Here are some related questions to expand your understanding:
1. How do you handle proportions when the terms involve decimals or fractions?
2. Why does cross-multiplication work for proportions?
3. How can you check if a solution for a proportion is correct?
4. What are some other methods to solve proportions aside from cross-multiplication?
5. How does simplifying fractions help in solving proportion problems?

**Tip:** When solving proportions, always simplify fractions if possible before applying cross-multiplication. This makes calculations easier and reduces errors.

Use the Cross-Multiplication Property of Proportions to solve each equation. x : 2 = 2.5 / (5 / 4)

Learn to solve the proportion x : 2 = 2.5 / (5 / 4) using the Cross-Multiplication Property. This example walks through simplifying fractions and applying cross-multiplication, suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation