Subtracting Fractions: 1 1/2 - 3/4
This article will guide you through the process of subtracting the fractions 1 1/2 and 3/4.
Understanding Mixed Numbers and Proper Fractions
First, let's understand the different types of fractions involved:
- Mixed Number: A mixed number combines a whole number and a fraction, like 1 1/2.
- Proper Fraction: A proper fraction has a numerator smaller than its denominator, like 3/4.
Converting Mixed Numbers to Improper Fractions
To subtract fractions easily, we need to convert the mixed number (1 1/2) into an improper fraction.
Here's how:
- Multiply the whole number by the denominator: 1 x 2 = 2
- Add the numerator: 2 + 1 = 3
- Keep the same denominator: 3/2
Now we have 3/2 instead of 1 1/2.
Finding a Common Denominator
Before subtracting, both fractions need to have the same denominator. The least common denominator for 2 and 4 is 4.
- 3/2: Multiply the numerator and denominator by 2: (3 x 2) / (2 x 2) = 6/4
Now we have: 6/4 - 3/4
Performing the Subtraction
Now that both fractions have the same denominator, we can subtract the numerators directly:
6/4 - 3/4 = (6 - 3) / 4 = 3/4
Final Answer
Therefore, 1 1/2 - 3/4 is equal to 3/4.