Step-by-Step Evaluation of the Expression
We need to evaluate the expression:
1/2 + 3/4 - 1
Step 1: Find a Common Denominator
Before we can add and subtract the fractions, we need to ensure they have the same denominator. The denominators in our expression are 2 and 4.
The least common denominator (LCD) between 2 and 4 is 4.
Step 2: Convert Each Fraction
Now, we will convert the fractions:
- Convert 1/2:
- Multiply the numerator and denominator by 2:
- 1/2 = (1 × 2) / (2 × 2) = 2/4
- Convert 3/4:
- This fraction already has the denominator of 4, so it stays as 3/4.
- Convert 1:
- We can write 1 as a fraction with a denominator of 4:
- 1 = 4/4
Step 3: Rewrite the Expression
Now we rewrite the expression using the converted fractions:
2/4 + 3/4 - 4/4
Step 4: Perform the Addition and Subtraction
Now we can combine the fractions:
- Add: 2/4 + 3/4 = (2 + 3)/4 = 5/4
- Subtract: 5/4 - 4/4 = (5 - 4)/4 = 1/4
Final Answer
The final answer to the expression 1/2 + 3/4 - 1 is:
1/4
So, you can represent it as the fraction 1/4.