Multiplying Mixed Numbers: 1 1/3 x 5 3/4
This article will guide you through the process of multiplying mixed numbers, specifically 1 1/3 times 5 3/4.
Converting Mixed Numbers to Improper Fractions
The first step is to convert both mixed numbers into improper fractions.

1 1/3: Multiply the whole number (1) by the denominator (3) and add the numerator (1). This gives us 4. Keep the same denominator (3). Therefore, 1 1/3 is equivalent to 4/3.

5 3/4: Multiply the whole number (5) by the denominator (4) and add the numerator (3). This gives us 23. Keep the same denominator (4). Therefore, 5 3/4 is equivalent to 23/4.
Multiplying the Fractions
Now, we multiply the two improper fractions:
(4/3) x (23/4) = (4 x 23) / (3 x 4) = 92/12
Simplifying the Result
The fraction 92/12 can be simplified. The greatest common factor of 92 and 12 is 4.
92/12 = (92/4) / (12/4) = 23/3
Converting Back to Mixed Number
Finally, we can convert the improper fraction 23/3 back to a mixed number.
 3 goes into 23 seven times (7 x 3 = 21).
 The remainder is 2.
 Therefore, 23/3 is equivalent to 7 2/3.
Conclusion
So, 1 1/3 times 5 3/4 is equal to 7 2/3. By converting the mixed numbers to improper fractions, multiplying them, and simplifying the result, we arrive at the final answer.