Question

Simplify the expression:
{[122 - 2.7] - [10 - (8 - 3)]} + {54 - 15.3 + [(40 - 4.5) + 2]}

Answer 1

To simplify the given expression, perform the calculations step-by-step, starting from the innermost parentheses and working your way outwards.

Step-by-step explanation:

To simplify the expression, we start by performing the calculations inside the innermost parentheses. Let's break it down step-by-step:

[122 - 2.7] - [10 - (8 - 3)] = [119.3] - [10 - 5]

Next, we continue simplifying the expression:

[119.3] - [10 - 5] = 119.3 - 5 = 114.3

Now, let's simplify the remaining part of the expression:

{54 - 15.3 + [(40 - 4.5) + 2]} = 54 - 15.3 + (35.5 + 2) = 54 - 15.3 + 37.5 = 76.2

Finally, we add the two simplified parts together:

114.3 + 76.2 = 190.5

Therefore, the simplified expression is 190.5.