Subtracting Mixed Numbers: 1 1/3 - 1 1/4
This article will guide you through the steps of subtracting the mixed numbers 1 1/3 and 1 1/4, resulting in a simplified fraction.
Step 1: Find a Common Denominator
To subtract fractions, they need to have the same denominator. The least common multiple of 3 and 4 is 12.
- Convert 1/3 to 4/12 (multiply numerator and denominator by 4).
- Convert 1/4 to 3/12 (multiply numerator and denominator by 3).
Step 2: Rewrite the Mixed Numbers
Now we have:
- 1 1/3 = 1 4/12
- 1 1/4 = 1 3/12
Step 3: Subtract the Fractions
Subtract the fractions: 4/12 - 3/12 = 1/12
Step 4: Subtract the Whole Numbers
Subtract the whole numbers: 1 - 1 = 0
Step 5: Combine the Results
Combine the whole number and the fraction: 0 + 1/12 = 1/12
Conclusion
Therefore, 1 1/3 - 1 1/4 is equal to 1/12.