Multiplying Mixed Numbers: 1 1/2 x 3 1/3
This article will guide you through the process of multiplying mixed numbers, specifically 1 1/2 x 3 1/3.
Converting Mixed Numbers to Fractions
Before we can multiply, we need to convert our mixed numbers into improper fractions:
- 1 1/2: Multiply the whole number (1) by the denominator (2) and add the numerator (1). This gives us 3. Keep the same denominator (2). So, 1 1/2 is equal to 3/2.
- 3 1/3: Multiply the whole number (3) by the denominator (3) and add the numerator (1). This gives us 10. Keep the same denominator (3). So, 3 1/3 is equal to 10/3.
Multiplying Fractions
Now we have: 3/2 x 10/3. To multiply fractions, we multiply the numerators and the denominators:
(3 x 10) / (2 x 3) = 30/6
Simplifying the Result
The fraction 30/6 can be simplified. Both the numerator and denominator are divisible by 6:
30/6 = 5
Conclusion
Therefore, 1 1/2 x 3 1/3 is equal to 5.