Question

2 times (|-7 1/4|+|-7 1/2 + 3|) divided by ( -2)^2

Answer 1

To solve the expression 2 times (|-7 1/4|+|-7 1/2 + 3|) divided by (-2)^2, calculate the absolute values, sum them, square (-2), and divide the sum by the square. The result is 4 1/4.

Step-by-step explanation:

To solve the expression 2 times (|-7 1/4|+|-7 1/2 + 3|) divided by (-2)^2, we can break it down into smaller steps.

1. Calculate the absolute values of -7 1/4 and -7 1/2 + 3: |-7 1/4| = 7 1/4, |-7 1/2 + 3| = |-3/2 + 3| = |-3/2 + 6/2| = |-3/2 + 6/2| = 3/2.
2. Now, calculate the sum of the absolute values: 7 1/4 + 3/2 = 7 2/4 + 3/2 = 8 1/2.
3. Next, calculate (-2)^2 = (-2) * (-2) = 4.
4. Finally, multiply the sum of the absolute values by 2 and divide by 4: 2 * (8 1/2) / 4 = 17 / 4 = 4 1/4.

Therefore, the value of the expression 2 times (|-7 1/4|+|-7 1/2 + 3|) divided by (-2)^2 is 4 1/4.