To find the value of the expression, we can simplify it step by step:
1/2 - 3/4(11+5) + 1/4
First, simplify the parentheses: 11+5 = 16.
1/2 - 3/4(16) + 1/4
Next, multiply the fraction 3/4 by 16:
1/2 - (3/4)*(16) + 1/4
Simplifying the multiplication gives:
1/2 - 12 + 1/4
Next, find a common denominator for 1/2 and 1/4, which is 4. Rewrite the fractions with a denominator of 4:
2/4 - 12 + 1/4
Now, combine the fractions with the same denominator:
(2/4 + 1/4) - 12
Simplifying the addition gives:
3/4 - 12
Finally, subtract 12 from 3/4:
-11 1/4
Therefore, the expression is equivalent to 1/2 - 3/4(11+5) + 1/4 = -11 1/4.
Out of the given options, none of them have the same value as the original expression.
Margaret needs to find the value of the expression below.
1/2-3/4(11+5)+1/4
Which expression has the same value?
1/2-(3/4+1/4)-16
(1/2+1/4)-33/4+5
1/2-3/4-16-1/4
(1/2+1/4)-12
1 answer