Subtracting Fractions: 1 1/2 - 2/3
This article will guide you through the process of subtracting the fractions 1 1/2 and 2/3.
Understanding Mixed Numbers
Firstly, we need to understand the mixed number 1 1/2. A mixed number represents a whole number and a fraction combined. In this case, 1 1/2 means one whole plus one-half.
Converting to Improper Fractions
Before subtracting fractions, we need to convert the mixed number into an improper fraction. To do this, we multiply the whole number by the denominator of the fraction and then add the numerator. This result becomes the new numerator, while the denominator stays the same.
Here's how to convert 1 1/2:
- Multiply the whole number (1) by the denominator (2): 1 * 2 = 2
- Add the numerator (1): 2 + 1 = 3
- Keep the same denominator (2): 3/2
Now we have 1 1/2 converted to the improper fraction 3/2.
Finding a Common Denominator
To subtract fractions, they must have the same denominator. The smallest common denominator for 2 and 3 is 6.
Let's convert the fractions:
- 3/2: Multiply the numerator and denominator by 3: (3 * 3) / (2 * 3) = 9/6
- 2/3: Multiply the numerator and denominator by 2: (2 * 2) / (3 * 2) = 4/6
Subtracting the Fractions
Now we can subtract the fractions:
9/6 - 4/6 = (9 - 4) / 6 = 5/6
Final Answer
Therefore, 1 1/2 - 2/3 is equal to 5/6.