Multiplying Mixed Numbers: 1 1/2 x 2 1/3
Multiplying mixed numbers can seem tricky, but with the right steps, it's easy! Let's break down how to calculate 1 1/2 x 2 1/3.
Step 1: Convert Mixed Numbers to Improper Fractions
- 1 1/2 becomes 3/2 (multiply the whole number by the denominator and add the numerator, then keep the same denominator).
- 2 1/3 becomes 7/3 (multiply the whole number by the denominator and add the numerator, then keep the same denominator).
Step 2: Multiply the Fractions
- (3/2) x (7/3)
- Multiply the numerators: 3 x 7 = 21
- Multiply the denominators: 2 x 3 = 6
- This gives us 21/6.
Step 3: Simplify the Fraction (Optional)
- 21/6 can be simplified by dividing both numerator and denominator by their greatest common factor, which is 3.
- This gives us 7/2.
Step 4: Convert back to a Mixed Number (Optional)
- 7/2 can be converted back to a mixed number:
- 7 divided by 2 equals 3 with a remainder of 1.
- So, 7/2 is equal to 3 1/2.
Conclusion
Therefore, 1 1/2 x 2 1/3 equals 7/2 or 3 1/2.