Multiplying Mixed Numbers: 1 1/3 x 2 1/2
Multiplying mixed numbers can seem daunting, but with the right approach, it's a simple process. Let's break down how to multiply 1 1/3 x 2 1/2 and get the answer in fraction form.
Step 1: Convert Mixed Numbers to Improper Fractions
- 1 1/3: Multiply the whole number (1) by the denominator (3), then add the numerator (1). Keep the same denominator. (1 x 3 + 1) / 3 = 4/3
- 2 1/2: Multiply the whole number (2) by the denominator (2), then add the numerator (1). Keep the same denominator. (2 x 2 + 1) / 2 = 5/2
Step 2: Multiply the Numerators and Denominators
Now we have: 4/3 x 5/2
- Multiply the numerators: 4 x 5 = 20
- Multiply the denominators: 3 x 2 = 6
This gives us 20/6.
Step 3: Simplify the Resulting Fraction (Optional)
- 20/6 can be simplified by finding the greatest common factor (GCF) of 20 and 6, which is 2.
- Divide both numerator and denominator by 2: 20 ÷ 2 = 10 and 6 ÷ 2 = 3
Therefore, the simplified answer is 10/3.
Conclusion
Multiplying mixed numbers like 1 1/3 x 2 1/2 involves converting them to improper fractions, multiplying the numerators and denominators, and then simplifying the resulting fraction if possible. By following these steps, you can confidently multiply mixed numbers and express your answer in a clear fractional form.