I want this this answer with proper step by step explanation. 716-{(1950÷5of3)-(4+2117÷7)}

Answer:

Let's solve the expression step by step:

Expression: 716 - [(1950 ÷ 5) + (3 - (4 + 2117 ÷ 7))]

Step 1: Calculate inside the innermost parentheses first.

a. \(1950 ÷ 5\)

\[1950 ÷ 5 = 390\]

b. \(2117 ÷ 7\)

\[2117 ÷ 7 = 303\]

Step 2: Continue simplifying the expression:

\[716 - [(390) + (3 - (4 + 303))]\]

Step 3: Calculate inside the next set of parentheses:

a. \(4 + 303\)

\[4 + 303 = 307\]

b. \(3 - 307\)

\[3 - 307 = -304\]

Step 4: Now, we have simplified the expression further:

\[716 - [(390) + (-304)]\]

Step 5: Continue simplifying inside the next set of parentheses:

a. \(-390 - (-304)\)

To subtract a negative number, we can add the positive value.

\(-390 - (-304) = -390 + 304\)

\[-390 + 304 = -86\]

Step 6: Now, we have simplified the expression to:

\[716 - (-86)\]

Step 7: Subtract -86 from 716:

\[716 - (-86) = 716 + 86\]

Step 8: Finally, calculate the addition:

\[716 + 86 = 802\]

So, the result of the expression \(716 - [(1950 ÷ 5) + (3 - (4 + 2117 ÷ 7))]\) is 802.