3 3/4 times 2 1/2 as a Mixed Number
In this article, we will explore how to multiply two mixed numbers, specifically 3 3/4 and 2 1/2. We will break down the steps to follow and provide the solution to the problem.
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 larger than the denominator.
3 3/4
To convert 3 3/4 to an improper fraction, we multiply the whole number part (3) by the denominator (4) and add the numerator (3):
3 × 4 = 12 12 + 3 = 15
So, 3 3/4 is equal to 15/4.
2 1/2
To convert 2 1/2 to an improper fraction, we multiply the whole number part (2) by the denominator (2) and add the numerator (1):
2 × 2 = 4 4 + 1 = 5
So, 2 1/2 is equal to 5/2.
Step 2: Multiply the Improper Fractions
Now that we have converted both mixed numbers to improper fractions, we can multiply them:
(15/4) × (5/2) = ?
To multiply fractions, we multiply the numerators (15 and 5) and multiply the denominators (4 and 2):
(15 × 5) / (4 × 2) = 75/8
Step 3: Convert the Result Back to a Mixed Number
To convert the improper fraction 75/8 back to a mixed number, we divide the numerator (75) by the denominator (8):
75 ÷ 8 = 9 with a remainder of 3
So, 75/8 is equal to 9 3/8.
Final Answer
Therefore, 3 3/4 times 2 1/2 is equal to 9 3/8.
