Subtracting Fractions: 1 1/3 - 2/3
This article will guide you through subtracting the fractions 1 1/3 and 2/3.
Understanding Mixed Numbers and Improper Fractions
Before we start subtracting, let's make sure we understand the terms:
- Mixed Number: A mixed number combines a whole number and a fraction, like 1 1/3.
- Improper Fraction: An improper fraction has a numerator larger than or equal to the denominator, like 4/3.
Converting Mixed Numbers to Improper Fractions
To subtract fractions, it's helpful to work with improper fractions. Let's convert 1 1/3 to an improper fraction:
- Multiply the whole number (1) by the denominator (3): 1 * 3 = 3
- Add the numerator (1): 3 + 1 = 4
- Keep the same denominator (3): 4/3
Now we have the problem: 4/3 - 2/3
Subtracting Fractions with the Same Denominator
When fractions have the same denominator, subtracting is simple:
- Subtract the numerators: 4 - 2 = 2
- Keep the same denominator: 2/3
Therefore, 1 1/3 - 2/3 = 2/3.