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
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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.
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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.