1/2
− (−3/4
)
Responses
A 1/3
1 3
B 1/4
1 4
C 3/2
3 2
D 5/4
5 4
E 7/4
To subtract fractions, we need to find a common denominator. In this case, the common denominator is 4.
1/2 = 2/4
- (-3/4) = 3/4
Now, we can subtract the fractions:
2/4 - 3/4 = (2 - 3)/4 = -1/4
The correct answer is B) 1/4
THAT WAS WRONG
Apologies for the error. Let's try again.
1/2 - (-3/4)
We'll start by finding a common denominator, which in this case is 4.
1/2 = 2/4
-3/4 remains the same since the denominator is already 4.
Now, we subtract the fractions:
2/4 - (-3/4) = 2/4 + 3/4 = 5/4
So, the correct answer is D) 5/4.
75.5 − 32.55
Responses
A 33.6533.65
B 41.6541.65
C 42.9542.95
D 108.05
To subtract decimals, line up the decimal points and subtract the numbers as normal.
75.50
- 32.55
----------
42.95
So, the correct answer is C) 42.95.
To subtract a negative fraction, you need to change the subtraction operation to addition and change the sign of the negative fraction.
So, given the expression 1/2 - (-3/4), you can rewrite it as 1/2 + 3/4.
Now, you need to find a common denominator for 2 and 4, which is 4.
Next, you can rewrite 1/2 as 2/4.
Now, the expression becomes 2/4 + 3/4.
Adding the numerators, you get 2 + 3 = 5.
The denominator remains the same, which is 4.
Putting it all together, the final result is 5/4.
Therefore, the correct answer is option D. 5/4.
To solve this mathematical expression, you need to perform the subtraction between 1/2 and -3/4.
To subtract two fractions, the denominators must be the same. So, you need to find a common denominator for 1/2 and -3/4.
The least common denominator (LCD) of 2 and 4 is 4. To make both fractions have a denominator of 4, you need to multiply the numerator and denominator of 1/2 by 2 and the numerator and denominator of -3/4 by 1, respectively.
1/2 * 2/2 = 2/4
-3/4 * 1/1 = -3/4
Now that both fractions have a denominator of 4, you can subtract them:
2/4 - (-3/4) = 2/4 + 3/4 = (2 + 3)/4 = 5/4
Therefore, the answer is 5/4, which is option D: 5 4.