Multiplying Mixed Numbers: 1 2/3 x 1 2/3
This article will guide you through the process of multiplying mixed numbers, specifically 1 2/3 x 1 2/3, and expressing the answer as a fraction.
Step 1: Convert Mixed Numbers to Improper Fractions

1 2/3: To convert this to an improper fraction, multiply the whole number (1) by the denominator (3) and add the numerator (2). This gives us 5. Keep the same denominator (3). So, 1 2/3 becomes 5/3.

1 2/3: Following the same process, we get 5/3.
Step 2: Multiply the Improper Fractions
Now, we have the problem: (5/3) x (5/3)
 To multiply fractions, multiply the numerators and the denominators.
 Numerators: 5 x 5 = 25
 Denominators: 3 x 3 = 9
This gives us 25/9.
Step 3: Simplify to a Mixed Number (Optional)
While 25/9 is a correct answer, it's often helpful to express it as a mixed number.
 Divide the numerator (25) by the denominator (9): 25 ÷ 9 = 2 with a remainder of 7.
 The quotient (2) becomes the whole number part of the mixed number.
 The remainder (7) becomes the numerator of the fraction.
 Keep the same denominator (9).
Therefore, 25/9 simplifies to 2 7/9.
Conclusion
The product of 1 2/3 and 1 2/3, expressed as a fraction, is 25/9 or 2 7/9. Remember to follow these steps for multiplying any mixed numbers.