6−14⋅28−2 1/4_______3/4+4⋅2−11

1 answer

To solve this problem, follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) to simplify each expression separately and then perform the operations that are left.

First, simplify each expression separately:
6 − (14 ⋅ 28) − (2 1/4)
= 6 - (392) - (2 1/4)
= 6 - 392 - 2 1/4
= 6 - 392 - 9/4 (since 2 1/4 = 9/4 in improper fraction form)

Next, simplify the other expression:
3/4 + (4 ⋅ 2) - 11
= 3/4 + (8) - 11
= 3/4 + 8 - 11

Now, perform the remaining operations:
6 - 392 - 9/4 (separate expression)
= -386 - 9/4

3/4 + 8 - 11 (separate expression)
= -9 1/4 (since 3/4 + 8 = 8 3/4, and 8 3/4 - 11 = -9 1/4)

Therefore, the final answer is -386 - 9/4 = -386 9/4 or -9 1/4.