Multiplying Mixed Numbers: 1 1/2 x 1 1/2
Multiplying mixed numbers can seem tricky, but it's actually quite simple once you understand the steps. Let's break down how to multiply 1 1/2 by 1 1/2.
Step 1: Convert mixed numbers to improper fractions.
- 1 1/2 becomes (1 x 2 + 1) / 2 = 3/2
- 1 1/2 becomes (1 x 2 + 1) / 2 = 3/2
Step 2: Multiply the numerators and denominators.
- (3/2) x (3/2) = (3 x 3) / (2 x 2) = 9/4
Step 3: Simplify the result (if possible).
- The fraction 9/4 is an improper fraction because the numerator is larger than the denominator.
- We can simplify it to a mixed number: 9/4 = 2 1/4
Therefore, 1 1/2 x 1 1/2 = 2 1/4
Visual Representation
Imagine a square with sides of 1 1/2 units. You are essentially finding the area of this square by multiplying its length and width. The result, 2 1/4, represents the area of the square.
Tips for Multiplying Mixed Numbers
- Always convert mixed numbers to improper fractions before multiplying. This makes the process easier and less prone to errors.
- Simplify your answer whenever possible. This makes the result more understandable and easier to use in further calculations.
By following these steps, you can confidently multiply mixed numbers like a pro!