answer all these
A. 1/2 - (3/4 + 1/4) - 16
B. (1/2 + 1/4) -33/4 + 5
C. 1/2 - 3/4 - 16 - 1/4
D. (1/2 + 1/4) - 12
A. 1/2 - (3/4 + 1/4) - 16
Start by simplifying the expression inside the parentheses:
3/4 + 1/4 = 4/4 = 1
Now substitute the simplified value back into the original expression:
1/2 - 1 - 16 = 1/2 - 17
To subtract fractions with different denominators, we need to find a common denominator. The common denominator here is 2:
1/2 - 17/1 = 1/2 - 34/2
Now we can subtract the fractions:
1/2 - 34/2 = (1 - 34)/2 = -33/2
Therefore, the answer to A is -33/2.
B. (1/2 + 1/4) - 33/4 + 5
Start by adding the fractions within the parentheses:
1/2 + 1/4 = 2/4 + 1/4 = 3/4
Now substitute the simplified value back into the original expression:
3/4 - 33/4 + 5
To add/subtract fractions with the same denominator, we just add/subtract their numerators:
(3 - 33)/4 + 5 = -30/4 + 5
To add a fraction with a whole number, we first convert the whole number to a fraction with the same denominator:
-30/4 + 20/4 = -10/4
Now simplify the fraction:
-10/4 = -5/2
Therefore, the answer to B is -5/2.
C. 1/2 - 3/4 - 16 - 1/4
To subtract fractions with different denominators, we need to find a common denominator. The common denominator here is 4:
1/2 - 3/4 - 16 - 1/4 = 2/4 - 3/4 - 16 - 1/4
Now we can subtract the fractions:
(2 - 3)/4 - 16 - 1/4 = -1/4 - 16 - 1/4
To subtract fractions with the same denominator, we just subtract their numerators:
(-1 - 1)/4 - 16 = -2/4 - 16
Simplify the fraction:
-2/4 = -1/2
Therefore, the answer to C is -1/2.
D. (1/2 + 1/4) - 12
Start by adding the fractions within the parentheses:
1/2 + 1/4 = 2/4 + 1/4 = 3/4
Now substitute the simplified value back into the original expression:
3/4 - 12
To subtract a fraction from a whole number, we first convert the whole number to a fraction with the same denominator:
3/4 - 48/4
Now we can subtract the fractions:
(3 - 48)/4 = -45/4
Therefore, the answer to D is -45/4.