Converting Mixed Numbers to Improper Fractions: 5 1/2 x 3 3/4
In this article, we will guide you through the process of converting mixed numbers to improper fractions, specifically focusing on the multiplication of 5 1/2 and 3 3/4.
What are Mixed Numbers?
A mixed number is a combination of a whole number and a fraction. For example, 5 1/2 is a mixed number, where 5 is the whole number and 1/2 is the fraction.
Converting Mixed Numbers to Improper Fractions
To multiply two mixed numbers, we need to convert them to improper fractions first. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
Converting 5 1/2 to an Improper Fraction
To convert 5 1/2 to an improper fraction, we need to multiply the whole number part (5) by the denominator (2) and then add the numerator (1).
5 1/2 = (5 x 2) + 1 / 2 5 1/2 = 11 / 2
Converting 3 3/4 to an Improper Fraction
To convert 3 3/4 to an improper fraction, we need to multiply the whole number part (3) by the denominator (4) and then add the numerator (3).
3 3/4 = (3 x 4) + 3 / 4 3 3/4 = 15 / 4
Multiplying Improper Fractions
Now that we have converted both mixed numbers to improper fractions, we can multiply them.
11 / 2 x 15 / 4
To multiply fractions, we need to multiply the numerators and multiply the denominators.
Numerators: 11 x 15 = 165 Denominators: 2 x 4 = 8
Result: 165 / 8
Simplifying the Result
The resulting fraction is 165 / 8. We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 165 and 8 is 1, so the fraction is already in its simplest form.
Result: 165 / 8
In conclusion, the result of multiplying 5 1/2 and 3 3/4 is 165 / 8.
