Calculator Results: 4 5/8 x 2 1/4
In this article, we will calculate the result of multiplying two mixed numbers: 4 5/8 and 2 1/4.
The Problem
The problem is to find the product of these two mixed numbers:
4 5/8 × 2 1/4
Step-by-Step Solution
To solve this problem, we need to follow the order of operations (PEMDAS):
- Convert the mixed numbers to improper fractions.
- Multiply the fractions.
- Simplify the result.
Conversion to Improper Fractions
First, let's convert the mixed numbers to improper fractions:
4 5/8 = (4 × 8 + 5) / 8 = 37 / 8 2 1/4 = (2 × 4 + 1) / 4 = 9 / 4
Multiplication of Fractions
Now, let's multiply the fractions:
(37 / 8) × (9 / 4) = (37 × 9) / (8 × 4) = 333 / 32
Simplification
Finally, let's simplify the result:
333 / 32 = 10 13/32
The Result
The result of multiplying 4 5/8 and 2 1/4 is:
10 13/32
Therefore, the product of 4 5/8 and 2 1/4 is 10 13/32.
