Subtracting Fractions: 1 1/3 - 1/4
This article will guide you through the steps of subtracting the fractions 1 1/3 and 1/4.
Step 1: Convert the Mixed Number to an Improper Fraction
- 1 1/3 is a mixed number, consisting of a whole number (1) and a fraction (1/3).
- To convert it to an improper fraction, multiply the whole number by the denominator of the fraction and add the numerator. Keep the same denominator.
- 1 x 3 + 1 = 4
- 1 1/3 is equivalent to 4/3.
Step 2: Find a Common Denominator
- The denominators of our fractions are 3 and 4. The least common multiple of 3 and 4 is 12.
- To get a denominator of 12 for 4/3, multiply both numerator and denominator by 4. This gives us 16/12.
- To get a denominator of 12 for 1/4, multiply both numerator and denominator by 3. This gives us 3/12.
Step 3: Subtract the Fractions
- Now that we have fractions with the same denominator, we can subtract the numerators.
- 16/12 - 3/12 = 13/12
Step 4: Simplify the Answer
- The answer 13/12 is an improper fraction. To simplify it, divide the numerator by the denominator.
- 13 divided by 12 is 1 with a remainder of 1.
- This can be written as 1 1/12.
Conclusion
Therefore, 1 1/3 minus 1/4 is equal to 1 1/12.