Multiplying Mixed Numbers: 1 1/6 x 2 2/7 as a Fraction ==================================================================-==-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
Introduction
When dealing with mixed numbers, multiplying them can be a bit tricky. In this article, we will explore how to multiply two mixed numbers, specifically 1 1/6 and 2 2/7, and express the result as a fraction.
Converting Mixed Numbers to Improper Fractions
Before we dive into the multiplication, let's convert both mixed numbers to improper fractions.
1 1/6 as an Improper Fraction
1 1/6 = (6 + 1) / 6 = 7/6
2 2/7 as an Improper Fraction
2 2/7 = (14 + 2) / 7 = 16/7
Multiplying Improper Fractions
Now that we have both mixed numbers converted to improper fractions, we can multiply them:
(7/6) × (16/7) = 112/42
Simplifying the Result
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 14:
112 ÷ 14 = 8
42 ÷ 14 = 3
So, the result of the multiplication is:
8/3
Conclusion
In this article, we have successfully multiplied two mixed numbers, 1 1/6 and 2 2/7, and expressed the result as a fraction. By converting the mixed numbers to improper fractions, multiplying them, and simplifying the result, we arrived at the final answer: 8/3.
