Solve 300÷(20×8)-(13+200): Order of Operations Challenge

Question

300:(208)(13+200)=? 300:(20\cdot8)-(13+200)=\text{?}

Video Solution

Step-by-Step Solution

To solve the problem 300:(208)(13+200) 300:(20\cdot8)-(13+200) , follow these steps:

  • Step 1: Evaluate the multiplication 20820 \cdot 8.
    208=160 20 \cdot 8 = 160
  • Step 2: Perform the division 300:160300:160.
    300÷160=1.875 300 \div 160 = 1.875
  • Step 3: Calculate the addition inside the parentheses 13+20013 + 200.
    13+200=213 13 + 200 = 213
  • Step 4: Subtract the result of the addition from the division.
    1.875213=211.125 1.875 - 213 = -211.125
  • Step 5: Convert the decimal to a fraction, if necessary.
    Since 211.125-211.125 is equivalent to 21118-211\frac{1}{8}.

Therefore, the solution to the problem is 21118 -211\frac{1}{8} , which corresponds to choice 3.

Answer

21118 -211\frac{1}{8}