Calculation: 6 1/2 x 4 3/4
When working with mixed numbers, it's essential to understand how to multiply them correctly. In this article, we'll go through the step-by-step process of calculating the product of 6 1/2 and 4 3/4.
Converting Mixed Numbers to Improper Fractions
Before we can multiply these mixed numbers, we need to convert them into improper fractions.
6 1/2
To convert 6 1/2 to an improper fraction, we'll multiply the whole number part (6) by the denominator (2), then add the numerator (1).
(6 × 2) + 1 = 13
So, 6 1/2 is equal to 13/2.
4 3/4
Using the same process, we'll convert 4 3/4 to an improper fraction.
(4 × 4) + 3 = 19
So, 4 3/4 is equal to 19/4.
Multiplying the Improper Fractions
Now that we have our improper fractions, we can multiply them.
(13/2) × (19/4)
To multiply fractions, we'll multiply the numerators (13 and 19) and multiply the denominators (2 and 4). Then, we'll simplify the fraction.
Numerators: 13 × 19 = 247 Denominators: 2 × 4 = 8
So, the product of 6 1/2 and 4 3/4 is 247/8.
Simplifying the Fraction
We can simplify the fraction 247/8 by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 247 and 8 is 1, so the simplified fraction remains 247/8.
Conclusion
In conclusion, the product of 6 1/2 and 4 3/4 is 247/8. Remember to convert mixed numbers to improper fractions before multiplying, and simplify the resulting fraction to its most basic form.
