Multiplying Mixed Numbers: 1 1/4 times 2 2/3
This article will guide you through the process of multiplying mixed numbers, using the example of 1 1/4 times 2 2/3.
Step 1: Convert Mixed Numbers to Improper Fractions

1 1/4: Multiply the whole number (1) by the denominator (4), then add the numerator (1): (1 * 4) + 1 = 5. Keep the same denominator (4). This gives us 5/4.

2 2/3: Multiply the whole number (2) by the denominator (3), then add the numerator (2): (2 * 3) + 2 = 8. Keep the same denominator (3). This gives us 8/3.
Step 2: Multiply the Fractions
Now we have: 5/4 * 8/3
To multiply fractions, we simply multiply the numerators and the denominators:
(5 * 8) / (4 * 3) = 40/12
Step 3: Simplify the Result
The fraction 40/12 can be simplified. Find the greatest common factor (GCF) of 40 and 12, which is 4. Divide both numerator and denominator by 4:
40/12 = (40/4) / (12/4) = 10/3
Step 4: Convert Back to a Mixed Number (Optional)
The answer 10/3 is an improper fraction (numerator is larger than the denominator). We can convert it back to a mixed number:
 Divide the numerator (10) by the denominator (3): 10 ÷ 3 = 3 with a remainder of 1.
 The quotient (3) becomes the whole number of the mixed number.
 The remainder (1) becomes the numerator of the fraction.
 The denominator stays the same (3).
Therefore, 10/3 as a mixed number is 3 1/3.
Conclusion
1 1/4 times 2 2/3 equals 10/3 or 3 1/3. By following these steps, you can confidently multiply any mixed numbers.