1 1/2 minus 1/4: A Step-by-Step Guide
Subtracting fractions can seem tricky, but with a few simple steps, it becomes much easier! Let's break down how to solve 1 1/2 - 1/4.
Step 1: Convert the Mixed Number to a Fraction
First, we need to convert the mixed number (1 1/2) into an improper fraction.
- Multiply the whole number (1) by the denominator (2) and add the numerator (1): (1 * 2) + 1 = 3
- Keep the same denominator: 3/2
Now our problem is: 3/2 - 1/4
Step 2: Find a Common Denominator
To subtract fractions, they need to have the same denominator. The least common denominator for 2 and 4 is 4.
- Multiply the numerator and denominator of 3/2 by 2: (3 * 2) / (2 * 2) = 6/4
Our new problem is: 6/4 - 1/4
Step 3: Subtract the Numerators
Now that the denominators are the same, we can simply subtract the numerators:
- 6/4 - 1/4 = 5/4
Step 4: Simplify the Answer (Optional)
The answer, 5/4, is an improper fraction. You can optionally convert it back to a mixed number:
- Divide the numerator (5) by the denominator (4): 5 ÷ 4 = 1 with a remainder of 1
- The whole number is 1, and the remainder (1) becomes the new numerator. The denominator stays the same: 1 1/4
Conclusion
Therefore, 1 1/2 - 1/4 = 5/4 or 1 1/4. Remember, the key is to convert the mixed number to a fraction, find a common denominator, and then subtract the numerators.