1 1/2 x 1 1/2: Understanding the Mathematical Operation
Multiplication is an essential mathematical operation that we use in our daily lives. One of the most common multiplication problems is 1 1/2 x 1 1/2. In this article, we will break down the solution to this problem and explain the step-by-step process to get the answer.
What does 1 1/2 mean?
In mathematics, 1 1/2 is a mixed number that consists of a whole number part (1) and a fraction part (1/2). The fraction 1/2 represents one half or 0.5 in decimal form.
The Multiplication Problem
Now, let's tackle the multiplication problem 1 1/2 x 1 1/2. To solve this problem, we need to follow the rules of multiplication for mixed numbers.
Step 1: Convert Mixed Numbers to Improper Fractions
First, we need to convert both mixed numbers to improper fractions.
1 1/2 = 3/2
1 1/2 = 3/2
Step 2: Multiply the Fractions
Now, we multiply the fractions:
(3/2) x (3/2) = 9/4
Step 3: Convert the Result Back to a Mixed Number
Finally, we convert the result back to a mixed number:
9/4 = 2 1/4
The Final Answer
So, 1 1/2 x 1 1/2 equals 2 1/4.
Conclusion
In conclusion, multiplying 1 1/2 x 1 1/2 requires converting the mixed numbers to improper fractions, multiplying the fractions, and converting the result back to a mixed number. By following these steps, we get the final answer of 2 1/4.