Subtracting Fractions: 1 1/4 minus 1/3
This article will guide you through the process of subtracting the fractions 1 1/4 and 1/3.
Understanding Mixed Numbers
First, let's understand the mixed number 1 1/4. This represents one whole unit plus one-fourth of another unit. To make subtraction easier, we'll convert this mixed number into an improper fraction.
Converting to Improper Fractions
- 1 1/4: Multiply the whole number (1) by the denominator (4), then add the numerator (1): (1 * 4) + 1 = 5.
- Keep the same denominator: This gives us the improper fraction 5/4.
Finding a Common Denominator
Before we can subtract fractions, they must have the same denominator. The least common multiple of 4 and 3 is 12.
- 5/4: Multiply both numerator and denominator by 3: (5 * 3) / (4 * 3) = 15/12
- 1/3: Multiply both numerator and denominator by 4: (1 * 4) / (3 * 4) = 4/12
Subtracting the Fractions
Now that we have the same denominator, we can subtract the numerators:
15/12 - 4/12 = 11/12
Result
Therefore, 1 1/4 minus 1/3 is equal to 11/12.