Question

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

Answer 1

To find the value of the expression, we need to simplify it step by step.

1/2 - 3/4(11+5) + 1/4

First, we solve the parentheses:

1/2 - 3/4 * 16 + 1/4

Next, we perform the multiplication:

1/2 - 48/4 + 1/4

Simplifying the fractions:

1/2 - 12 + 1/4

Combining like terms:

1/2 - 12/1 + 1/4

To find the expression that has the same value, we compare the simplified expression with the given choices:

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

By comparing the simplified expression with the given choices, we can see that the expression (1/2 - 3/4 - 16 - 1/4) has the same value.