11/6 x 7/2 as a Fraction
In this article, we will explore how to multiply two mixed numbers, specifically 1 1/6 and 3 1/2, and express the result as a fraction.
Converting Mixed Numbers to Improper Fractions
Before we can multiply these mixed numbers, we need to convert them to improper fractions.
1 1/6
To convert 1 1/6 to an improper fraction, we multiply the whole number part (1) by the denominator (6) and then add the numerator (1).
1 × 6 = 6 6 + 1 = 7
So, 1 1/6 as an improper fraction is 7/6.
3 1/2
To convert 3 1/2 to an improper fraction, we multiply the whole number part (3) by the denominator (2) and then add the numerator (1).
3 × 2 = 6 6 + 1 = 7
So, 3 1/2 as an improper fraction is 7/2.
Multiplying Fractions
Now that we have both mixed numbers converted to improper fractions, we can multiply them.
7/6 × 7/2
To multiply fractions, we multiply the numerators (7 and 7) and multiply the denominators (6 and 2).
Numerators: 7 × 7 = 49 Denominators: 6 × 2 = 12
So, the result of the multiplication is 49/12.
Conclusion
In conclusion, 1 1/6 × 3 1/2 as a fraction is equal to 49/12.
