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Simplify the expression.\newline9−3÷13+1=?9-3÷\frac{1}{3}+1=?

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Full solution

Q. Simplify the expression.\newline9−3÷13+1=?9-3÷\frac{1}{3}+1=?
  1. Addressing division and parentheses: According to the order of operations (PEMDAS/BODMAS), we first need to address the division and parentheses. The expression inside the parentheses is (13)(\frac{1}{3}), which is already simplified. So we will perform the division next: 3÷(13)3 \div (\frac{1}{3}).
  2. Performing the division: Dividing by a fraction is the same as multiplying by its reciprocal. Therefore, 3÷(13)3 \div \left(\frac{1}{3}\right) is the same as 3×33 \times 3, which equals 99.
  3. Substituting the result: Now we substitute the result of the division back into the original expression, which gives us 9−9+19 - 9 + 1.
  4. Performing the subtraction: Next, we perform the subtraction: 9−99 - 9 equals 00.
  5. Adding the remaining number: Finally, we add the remaining number to the result of the subtraction: 0+10 + 1 equals 11.

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