Subtracting Fractions: 1 1/2 minus 1/4
This article will guide you through the process of subtracting the fraction 1/4 from the mixed number 1 1/2.
Understanding the Problem
We need to subtract 1/4 from 1 1/2. To do this effectively, we need to ensure that both numbers share the same denominator.
Converting Mixed Numbers
1 1/2 is a mixed number. To make subtraction easier, we'll convert it into an improper fraction.
- Multiply the whole number (1) by the denominator (2): 1 * 2 = 2
- Add the numerator (1): 2 + 1 = 3
- Keep the same denominator (2): 3/2
Now, we have the following subtraction problem: 3/2 - 1/4.
Finding a Common Denominator
The smallest common denominator for 2 and 4 is 4.
- 3/2: To get a denominator of 4, multiply both numerator and denominator by 2: (3 * 2) / (2 * 2) = 6/4
- 1/4: The fraction already has the desired denominator.
Performing the Subtraction
Now we have: 6/4 - 1/4.
- Subtract the numerators: 6 - 1 = 5
- Keep the common denominator: 5/4
Simplifying the Answer
The answer, 5/4, is an improper fraction. To convert it to a mixed number:
- Divide the numerator (5) by the denominator (4): 5 ÷ 4 = 1 with a remainder of 1
- The quotient (1) becomes the whole number part of the mixed number.
- The remainder (1) becomes the numerator of the fraction.
- Keep the same denominator (4): 1 1/4
Final Answer
Therefore, 1 1/2 minus 1/4 is 1 1/4.