Subtracting Fractions: A Step-by-Step Guide
In this article, we will explore how to subtract fractions, specifically focusing on the problem 4 1/4 - 1 1/3. We will break down the steps to solve this problem and provide a clear explanation of the process.
Understanding Mixed Numbers
Before we dive into the subtraction problem, let's quickly review what mixed numbers are. A mixed number is a combination of a whole number and a fraction. In our problem, 4 1/4 and 1 1/3 are mixed numbers.
Converting Mixed Numbers to Improper Fractions
To subtract these mixed numbers, we need to convert them into improper fractions. An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number).
Converting 4 1/4
4 1/4 = 4 + 1/4 = 17/4 (since 4 = 16/4, we add 1/4 to get 17/4)
Converting 1 1/3
1 1/3 = 1 + 1/3 = 4/3 (since 1 = 3/3, we add 1/3 to get 4/3)
Subtracting the Fractions
Now that we have converted both mixed numbers into improper fractions, we can subtract them:
17/4 - 4/3
To subtract these fractions, we need to find a common denominator. The least common multiple (LCM) of 4 and 3 is 12. So, we can rewrite both fractions with a denominator of 12:
17/4 = 51/12 4/3 = 16/12
Now, we can subtract:
51/12 - 16/12 = 35/12
Simplifying the Result
Our final answer is 35/12. To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 1 in this case. Therefore, the simplified result is:
35/12
And that's the final answer! We have successfully subtracted 4 1/4 and 1 1/3 as fractions.
