Subtracting Fractions: 1 1/4 - 2/3
This article will walk you through the steps of subtracting the fractions 1 1/4 - 2/3.
Step 1: Find a Common Denominator
To subtract fractions, they need to have the same denominator.
- The least common denominator for 4 and 3 is 12.
- Convert 1 1/4 to an improper fraction: (1 * 4 + 1)/4 = 5/4.
- Multiply both the numerator and denominator of 5/4 by 3: (5 * 3)/(4 * 3) = 15/12.
- Multiply both the numerator and denominator of 2/3 by 4: (2 * 4)/(3 * 4) = 8/12.
Step 2: Subtract the Numerators
Now that the fractions have the same denominator, subtract the numerators: 15/12 - 8/12 = 7/12.
Step 3: Simplify (If Possible)
The fraction 7/12 is already in its simplest form, as 7 and 12 share no common factors other than 1.
Solution:
Therefore, 1 1/4 - 2/3 = 7/12.