1 1/4 Cup Minus 1/3

2 min read Jun 17, 2024
1 1/4 Cup Minus 1/3

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.

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