Converting Mixed Numbers to Fractions: 2 1/4 x 1 1/2
In mathematics, we often come across mixed numbers and fractions. While they may seem daunting, converting mixed numbers to fractions is a straightforward process. In this article, we'll explore how to convert 2 1/4 x 1 1/2 to a fraction.
What are Mixed Numbers and Fractions?
Before we dive into the conversion process, let's quickly review what mixed numbers and fractions are.
A mixed number is a combination of a whole number and a fraction. For example, 2 1/4 is a mixed number, where 2 is the whole number and 1/4 is the fraction.
A fraction, on the other hand, is a way to represent part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). For example, 1/4 is a fraction, where 1 is the numerator and 4 is the denominator.
Converting 2 1/4 to a Fraction
To convert 2 1/4 to a fraction, we need to multiply the whole number part (2) by the denominator (4) and then add the numerator (1).
2 x 4 = 8
Add the numerator:
8 + 1 = 9
So, 2 1/4 is equal to 9/4.
Converting 1 1/2 to a Fraction
Similarly, let's convert 1 1/2 to a fraction.
1 x 2 = 2
Add the numerator:
2 + 1 = 3
So, 1 1/2 is equal to 3/2.
Multiplying Fractions
Now that we have converted both mixed numbers to fractions, we can multiply them.
9/4 x 3/2 = ?
To multiply fractions, we multiply the numerators (9 x 3) and multiply the denominators (4 x 2).
Numerators: 9 x 3 = 27
Denominators: 4 x 2 = 8
So, the result of multiplying 2 1/4 and 1 1/2 is 27/8.
Conclusion
In this article, we learned how to convert mixed numbers to fractions and multiply them. By following these simple steps, you can easily convert any mixed number to a fraction and perform arithmetic operations with confidence. Remember to multiply the whole number part by the denominator, add the numerator, and simplify the fraction to get your desired result.
