Calculating Fractions: 12 1/2 × 2 1/4
In this article, we will explore how to multiply mixed numbers, specifically 12 1/2 and 2 1/4. Multiplying fractions can be a bit tricky, but with the right steps, you'll be a pro in no time!
Step 1: Convert Mixed Numbers to Improper Fractions
Before we can multiply, we need to convert our mixed numbers to improper fractions.
12 1/2
12 1/2 = 12 + 1/2 = 25/2
2 1/4
2 1/4 = 2 + 1/4 = 9/4
Step 2: Multiply the Fractions
Now that we have our improper fractions, we can multiply them.
25/2 × 9/4
To multiply fractions, we multiply the numerators (25 and 9) and multiply the denominators (2 and 4). Then, we simplify the fraction.
(25 × 9) / (2 × 4) = 225/8
Step 3: Simplify the Fraction
We can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).
The GCD of 225 and 8 is 1, so we cannot simplify the fraction further.
Final Answer
Therefore, 12 1/2 × 2 1/4 = 225/8.
I hope this step-by-step guide helped you understand how to multiply mixed numbers!
