Converting Mixed Numbers to Improper Fractions: 3 1/2 x 4 1/4
In this article, we will explore how to multiply two mixed numbers, 3 1/2 and 4 1/4, and express the result as an improper fraction.
Step 1: Convert Mixed Numbers to Improper Fractions
To multiply 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.
Convert 3 1/2 to an Improper Fraction
3 1/2 = 7/2
Convert 4 1/4 to an Improper Fraction
4 1/4 = 17/4
Step 2: Multiply the Improper Fractions
Now that we have converted both mixed numbers to improper fractions, we can multiply them:
(7/2) × (17/4) = ?
To multiply fractions, we multiply the numerators (numbers on top) and multiply the denominators (numbers at the bottom), like this:
(7 × 17) / (2 × 4) = 119/8
Result:
The result of multiplying 3 1/2 and 4 1/4 is an improper fraction, which is:
119/8
This can be further simplified to a mixed number if needed:
119/8 = 14 7/8
There you have it! The product of 3 1/2 and 4 1/4 is 14 7/8.
