Subtracting Fractions: 1 1/4 - 1/3
This article will guide you through the steps of subtracting the fractions 1 1/4 and 1/3.
Understanding Mixed Numbers and Fractions
Before we start, let's remember what mixed numbers and fractions represent:
- Mixed Numbers: A mixed number combines a whole number with a fraction, like 1 1/4.
- Fractions: Fractions represent parts of a whole, with a numerator (top number) indicating the number of parts and a denominator (bottom number) indicating the total number of parts.
Step 1: Convert the Mixed Number to an Improper Fraction
To subtract fractions easily, they must have the same denominator. Let's convert the mixed number 1 1/4 into an improper fraction:
- Multiply the whole number (1) by the denominator (4): 1 * 4 = 4
- Add the numerator (1): 4 + 1 = 5
- Keep the same denominator (4): 5/4
Now we have 5/4 - 1/3.
Step 2: Find a Common Denominator
The fractions 5/4 and 1/3 have different denominators. To subtract them, we need a common denominator. The least common multiple of 4 and 3 is 12.
- Convert 5/4 to an equivalent fraction with a denominator of 12: (5/4) * (3/3) = 15/12
- Convert 1/3 to an equivalent fraction with a denominator of 12: (1/3) * (4/4) = 4/12
Step 3: Subtract the Fractions
Now we have 15/12 - 4/12. To subtract fractions with the same denominator:
- Subtract the numerators: 15 - 4 = 11
- Keep the same denominator: 11/12
Answer
Therefore, 1 1/4 - 1/3 equals 11/12.