Calculating the Difference: 5 1/2 - 4 3/4
When working with mixed numbers, it's essential to understand how to subtract one mixed number from another. In this article, we'll explore how to calculate the difference between 5 1/2 and 4 3/4.
Understanding Mixed Numbers
Before we dive into the subtraction process, let's quickly review mixed numbers. A mixed number is a combination of a whole number and a fraction. For example, 5 1/2 is a mixed number, where 5 is the whole number and 1/2 is the fraction.
Converting Mixed Numbers to Improper Fractions
To subtract mixed numbers, we need to convert them to improper fractions. An improper fraction is a fraction where the numerator (the top number) is greater than the denominator (the bottom number).
Let's convert our mixed numbers:
- 5 1/2 = (5 x 2) + 1 = 11/2
- 4 3/4 = (4 x 4) + 3 = 19/4
Subtracting the Improper Fractions
Now that we have our improper fractions, we can subtract them:
- 11/2 - 19/4
To subtract these fractions, we need to find a common denominator. The least common multiple (LCM) of 2 and 4 is 4. So, we'll convert the first fraction to have a denominator of 4:
- 11/2 = 22/4
Now, we can subtract:
- 22/4 - 19/4 = 3/4
The Final Answer
So, the difference between 5 1/2 and 4 3/4 is 3/4.
Conclusion
Subtracting mixed numbers can seem intimidating, but by converting them to improper fractions and finding a common denominator, you can easily calculate the difference. Remember to simplify your answer, and you'll be a pro at subtracting mixed numbers in no time!
