Margaret needs to find the value of the expression below. 1/2-3/4(11+5)+1/4 Which expression has the same value?

A1/2-(3/4+1/4)-16

B(1/2+1/4)-33/4+5

C1/2-3/4-16-1/4

D(1/2+1/4)-12

1 answer

To find the value of the expression 1/2 - 3/4(11+5) + 1/4, we can first simplify the expression inside the parentheses: 11+5 = 16.

Next, we can simplify the expression 3/4(16) by multiplying the numerator (3) by the number inside the parentheses (16), and then dividing it by the denominator (4): (3*16)/4 = 48/4 = 12.

So the expression becomes: 1/2 - 12 + 1/4.

We can further simplify the expression 1/2 + 1/4 by finding a common denominator. The common denominator for 2 and 4 is 4, so we can multiply the numerator and denominator of 1/2 by 2: (1*2)/(2*2) = 2/4. Thus, the expression becomes: 2/4 - 12 + 1/4.

Combining like terms, we get: (2/4 + 1/4) - 12 = 3/4 - 12.

Therefore, the expression that has the same value is option C: 1/2 - 3/4 - 16 - 1/4.