Calculator Magic: Unraveling the Mystery of 6 1/2 x 3 5/8
Introduction
In the world of mathematics, fractions can be daunting, especially when it comes to multiplication. However, with the right approach, even the most complex fraction multiplications can become a breeze. In this article, we'll delve into the calculation of 6 1/2 x 3 5/8, breaking it down step by step.
Converting Mixed Numbers to Improper Fractions
Before we begin, let's convert both mixed numbers to improper fractions:
- 6 1/2 = 6 + 1/2 = 13/2
- 3 5/8 = 3 + 5/8 = 29/8
Now, we're ready to multiply these fractions.
Multiplying the Fractions
To multiply fractions, we simply multiply the numerators (the numbers on top) and multiply the denominators (the numbers on the bottom), like this:
(13/2) × (29/8) = (13 × 29) / (2 × 8)
Simplifying the Product
Next, we simplify the product:
(377) / (16) = 377/16
Converting the Improper Fraction to a Mixed Number
To convert the improper fraction back to a mixed number, we divide the numerator by the denominator:
377 ÷ 16 = 23 with a remainder of 9
So, our final answer is:
23 9/16
And there you have it! The product of 6 1/2 x 3 5/8 is indeed 23 9/16. With practice and patience, you'll become a pro at multiplying fractions in no time.
