1 1/2 Divided by 1 1/2: A Step-by-Step Guide
Introduction
When dealing with mixed numbers, division can be a bit tricky. In this article, we'll explore how to divide 1 1/2 by 1 1/2, providing a step-by-step guide to help you understand the process.
Understanding the Problem
Before we dive into the solution, let's break down the problem:
- Dividend: 1 1/2
- Divisor: 1 1/2
Converting Mixed Numbers to Improper Fractions
To divide mixed numbers, we need to convert them into improper fractions. Here's how:
- 1 1/2 = 3/2 (multiply the whole number part by the denominator and add the numerator)
So, our problem becomes:
- Dividend: 3/2
- Divisor: 3/2
Dividing Fractions
To divide fractions, we invert the divisor (i.e., flip the numerator and denominator) and then multiply:
- 3/2 ÷ 3/2 = 3/2 × 2/3
Multiplying Fractions
Now, let's multiply the numerators and denominators separately:
- Numerators: 3 × 2 = 6
- Denominators: 2 × 3 = 6
Result
The result of the division is:
- 1
Therefore, 1 1/2 divided by 1 1/2 equals 1.
Conclusion
In this article, we've demonstrated a step-by-step approach to dividing mixed numbers. By converting the mixed numbers to improper fractions, inverting the divisor, and multiplying, we arrived at the solution: 1 1/2 divided by 1 1/2 equals 1.
