1/2 - ( - 3/4)
To solve this, we can rewrite the subtraction as addition and combine the fractions:
1/2 + 3/4
First, we need to find a common denominator for the fractions. The least common multiple of 2 and 4 is 4.
To convert 1/2 to have a denominator of 4, we multiply the numerator and denominator by 2: (1/2) x (2/2) = 2/4
Now we can add the fractions:
2/4 + 3/4 = 5/4
Therefore, 1/2 - (-3/4) = 5/4.
To subtract a fraction with a negative sign, we can change the operation to addition by changing the sign of the second fraction. So, we have:
1/2 + 3/4
To add fractions, we need to find a common denominator. In this case, the common denominator is 4.
Now, we'll convert the fractions to have the same denominator:
1/2 + 3/4 = 2/4 + 3/4
Now, we can add the numerators together:
2/4 + 3/4 = 5/4
Since the fractions have the same denominator, we can add the numerators directly.
Therefore, 1/2 - ( - 3/4) = 5/4.
To evaluate the expression 1/2 - (-3/4), we can follow these steps:
Step 1: Simplify the expression within the parentheses.
Since we have a negative sign in front of -3/4, we can rewrite it as 3/4. Thus, the expression becomes 1/2 - 3/4.
Step 2: Find a common denominator.
To subtract fractions, we need to have the same denominator. The smallest common denominator for 2 and 4 is 4.
Step 3: Adjust the fractions to have the same denominator.
To convert 1/2 to have a denominator of 4, we multiply both the numerator and denominator by 2. This gives us 2/4. So, the expression is now 2/4 - 3/4.
Step 4: Subtract the fractions.
Since the numerators have the same denominator (4), we can subtract them directly. The result is (2 - 3)/4 = -1/4.
Therefore, 1/2 - (-3/4) simplifies to -1/4.