Calculating the Product of 3 1/2 and 96 1/4
In this article, we will guide you through the calculation of the product of two mixed numbers: 3 1/2 and 96 1/4.
Understanding Mixed Numbers
Before we dive into the calculation, let's take a brief moment to understand what mixed numbers are. A mixed number is a combination of a whole number and a fraction. For example, 3 1/2 is a mixed number where 3 is the whole number and 1/2 is the fraction.
Converting Mixed Numbers to Improper Fractions
To calculate the product of 3 1/2 and 96 1/4, we need to convert both mixed numbers to improper fractions.
Converting 3 1/2 to an Improper Fraction
To convert 3 1/2 to an improper fraction, we multiply the whole number by the denominator and then add the numerator.
3 × 2 = 6 6 + 1 = 7
So, 3 1/2 is equal to 7/2.
Converting 96 1/4 to an Improper Fraction
To convert 96 1/4 to an improper fraction, we multiply the whole number by the denominator and then add the numerator.
96 × 4 = 384 384 + 1 = 385
So, 96 1/4 is equal to 385/4.
Calculating the Product
Now that we have converted both mixed numbers to improper fractions, we can calculate the product.
7/2 × 385/4 = ?
To multiply two fractions, we multiply the numerators and denominators separately.
Numerators: 7 × 385 = 2695 Denominators: 2 × 4 = 8
So, the product of 3 1/2 and 96 1/4 is 2695/8.
Simplifying the Fraction
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD).
GCD of 2695 and 8 is 1
So, the simplified product is 2695/8.
Conclusion
In conclusion, the product of 3 1/2 and 96 1/4 is 2695/8. We hope this article has helped you understand how to calculate the product of mixed numbers and convert them to improper fractions.
