Subtracting Fractions: 1 1/3 - 1/2
In this article, we will explore how to subtract fractions, specifically the problem 1 1/3 - 1/2.
Understanding the Problem
The problem 1 1/3 - 1/2 involves subtracting two mixed numbers. To solve this problem, we need to subtract the fractional parts and the whole numbers separately.
Converting Mixed Numbers to Improper Fractions
Before we can subtract the fractions, we need to convert the mixed numbers to improper fractions.
- 1 1/3 = (3/3 + 1/3) = 4/3
- 1/2 = 1/2
Subtracting the Fractions
Now we can subtract the fractions:
- 4/3 - 1/2 = ?
To subtract fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 3 and 2 is 6. So, we can convert both fractions to have a denominator of 6:
- 4/3 = (4 x 2)/6 = 8/6
- 1/2 = (1 x 3)/6 = 3/6
Now we can subtract:
- 8/6 - 3/6 = 5/6
The Result
So, 1 1/3 - 1/2 = 5/6.
Therefore, the result of subtracting 1/2 from 1 1/3 is 5/6.