Simplifying 2/3 - 1/2
In this article, we will learn how to simplify the subtraction of two fractions, 2/3 - 1/2.
Step 1: Find the Least Common Denominator (LCD)
To subtract fractions, we need to find the least common denominator (LCD) of both fractions. The denominators of the two fractions are 3 and 2. The least common multiple (LCM) of 3 and 2 is 6. Therefore, the LCD is 6.
Step 2: Convert both fractions to have the LCD
We need to convert both fractions to have the LCD, which is 6.
- 2/3 = (2 * 2) / (3 * 2) = 4/6
- 1/2 = (1 * 3) / (2 * 3) = 3/6
Step 3: Subtract the fractions
Now that both fractions have the same denominator, we can subtract them.
4/6 - 3/6 = (4 - 3) / 6 = 1/6
Therefore, the simplified result of 2/3 - 1/2 is 1/6.
