Multiplying Mixed Numbers: 1 1/6 times 3 1/2
This article will guide you through the process of multiplying the mixed numbers 1 1/6 and 3 1/2.
Step 1: Convert Mixed Numbers to Improper Fractions
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1 1/6: To convert this to an improper fraction, multiply the whole number (1) by the denominator (6) and add the numerator (1). Keep the same denominator: (1 * 6) + 1 = 7, so 1 1/6 becomes 7/6.
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3 1/2: Similarly, (3 * 2) + 1 = 7, so 3 1/2 becomes 7/2.
Step 2: Multiply the Fractions
Now we have the multiplication problem: (7/6) * (7/2).
To multiply fractions, simply multiply the numerators and the denominators:
- (7 * 7) / (6 * 2) = 49/12
Step 3: Simplify to a Mixed Number (Optional)
The fraction 49/12 is an improper fraction (numerator is larger than the denominator). You can convert it back to a mixed number:
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Divide 49 by 12. The result is 4 with a remainder of 1.
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This means 49/12 is equivalent to 4 1/12.
Conclusion
Therefore, 1 1/6 times 3 1/2 is equal to 49/12 or 4 1/12.