To express \( 6 \frac{3}{2} \% \) as a fraction:

1. First, convert \( 6 \frac{3}{2} \% \) into an improper fraction:
\[
6 \frac{3}{2} = \frac{12}{2} + \frac{3}{2} = \frac{15}{2}
\]

2. Now, divide \( \frac{15}{2} \) by 100 (since percentage means "per hundred"):
\[
\frac{15}{2} \times \frac{1}{100} = \frac{15}{200}
\]

3. Simplify the fraction:
\[
\frac{15}{200} = \frac{3}{40}
\]

So, \( 6 \frac{3}{2} \% = \frac{3}{40} \).

Let me know if you want further details or explanations. Also, here are 5 related questions to expand on this topic:

1. How do you convert mixed numbers to improper fractions?
2. What is the process of converting percentages to decimals?
3. How do you simplify fractions step by step?
4. What is the decimal representation of \( \frac{3}{40} \)?
5. How do you solve percentage problems using proportions?

**Tip:** Always remember that "percent" means "out of 100," so converting percentages to fractions involves dividing by 100.

Learn how to convert 6 3/2% into a fraction in this easy-to-follow guide. We break down the steps of converting a mixed number into an improper fraction and show how to simplify percentages. Perfect for students in 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