Subtracting Mixed Numbers: 1 1/3 - 1 1/4
This article will guide you through the process of subtracting mixed numbers, specifically focusing on the problem 1 1/3 - 1 1/4.
Understanding Mixed Numbers
Mixed numbers consist of a whole number and a fraction. To subtract mixed numbers, we need to ensure that the fractions have the same denominator.
Finding a Common Denominator
- Identify the denominators: Our fractions are 1/3 and 1/4.
- Find the Least Common Multiple (LCM): The LCM of 3 and 4 is 12.
- Convert the fractions:
- 1/3 = 4/12
- 1/4 = 3/12
Subtracting the Fractions
Now that the fractions have the same denominator, we can subtract them:
- 4/12 - 3/12 = 1/12
Subtracting the Whole Numbers
Since the whole numbers are the same (1 in both cases), subtracting them results in 0.
Combining the Results
Finally, we combine the results of the fraction and whole number subtraction:
- 0 + 1/12 = 1/12