1 1/6 Times 3 1/2 As A Fraction

2 min read Jun 17, 2024
1 1/6 Times 3 1/2 As A Fraction

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

  • 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.

  • 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:

  • Divide 49 by 12. The result is 4 with a remainder of 1.

  • 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.

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