Simplifying the Subtraction of Fractions: 1 3/4 - 1/2 as a Fraction
When working with fractions, it's essential to understand how to perform basic arithmetic operations like addition and subtraction. In this article, we'll explore how to simplify the subtraction of fractions, specifically the expression 1 3/4 - 1/2 as a fraction.
Converting Mixed Numbers to Improper Fractions
Before we dive into the subtraction, let's convert the mixed number 1 3/4 to an improper fraction.
1 3/4 = (1 × 4) + 3/4 = 7/4
Now that we have the improper fraction, we can move on to the subtraction.
Subtracting Fractions: 7/4 - 1/2
To subtract 1/2 from 7/4, we need to find a common denominator. The least common multiple (LCM) of 4 and 2 is 4. So, we can rewrite 1/2 as 2/4.
7/4 - 2/4 = 5/4
Simplifying the Result
The result of the subtraction is 5/4, which is an improper fraction. We can convert it back to a mixed number if needed.
5/4 = 1 1/4
Conclusion
In conclusion, the subtraction of fractions 1 3/4 - 1/2 as a fraction is equal to 5/4 or 1 1/4. By converting mixed numbers to improper fractions and finding a common denominator, we can simplify the subtraction of fractions with ease.
