Multiplying Mixed Numbers: 1 1/2 x 1 2/3
Multiplying mixed numbers can seem daunting, but it's actually quite straightforward once you understand the steps. Let's break down how to multiply 1 1/2 by 1 2/3.
Step 1: Convert Mixed Numbers to Improper Fractions
- 1 1/2: Multiply the whole number (1) by the denominator (2) and add the numerator (1). This gives you 3. Keep the same denominator (2). So, 1 1/2 becomes 3/2.
- 1 2/3: Multiply the whole number (1) by the denominator (3) and add the numerator (2). This gives you 5. Keep the same denominator (3). So, 1 2/3 becomes 5/3.
Step 2: Multiply the Numerators and Denominators
Now, we have: (3/2) x (5/3)
- Multiply the numerators: 3 x 5 = 15
- Multiply the denominators: 2 x 3 = 6
This gives us 15/6.
Step 3: Simplify the Result
The fraction 15/6 can be simplified. Both 15 and 6 are divisible by 3.
- Divide 15 by 3 = 5
- Divide 6 by 3 = 2
Therefore, 1 1/2 x 1 2/3 = 5/2 or 2 1/2.