Multiplying Mixed Numbers: 2 1/4 x 4
Introduction
In mathematics, multiplying mixed numbers can be a bit challenging, but with the right steps, it can become a breeze. In this article, we will explore how to multiply 2 1/4 and 4.
Understanding Mixed Numbers
Before we dive into the multiplication process, let's quickly review what mixed numbers are. A mixed number is a combination of a whole number and a fraction. In this case, our mixed number is 2 1/4.
Breaking Down the Multiplication
To multiply 2 1/4 and 4, we need to follow the order of operations (PEMDAS):
- Convert the mixed number to an improper fraction.
- Multiply the fractions.
- Simplify the result.
Step 1: Convert the Mixed Number to an Improper Fraction
To convert 2 1/4 to an improper fraction, we need to multiply the whole number (2) by the denominator (4) and then add the numerator (1).
2 × 4 = 8 8 + 1 = 9
So, our mixed number 2 1/4 becomes the improper fraction 9/4.
Step 2: Multiply the Fractions
Now that we have our improper fraction, we can multiply it by 4.
9/4 × 4/1 = ?
To multiply fractions, we multiply the numerators (9 × 4 = 36) and multiply the denominators (4 × 1 = 4).
36/4
Step 3: Simplify the Result
Finally, we simplify the result by dividing both the numerator and the denominator by their greatest common divisor (GCD).
36 ÷ 4 = 9 4 ÷ 4 = 1
So, our final answer is 9.
Conclusion
In conclusion, multiplying 2 1/4 and 4 is a straightforward process once you understand the steps involved. By converting the mixed number to an improper fraction, multiplying the fractions, and simplifying the result, we arrive at the final answer of 9.
