9 - 3 ÷ 1/3 + 1 = ?

Understand the Problem

The question is asking us to solve the mathematical expression 9 - 3 ÷ (1/3) + 1. We will apply the order of operations (PEMDAS/BODMAS) to find the solution.

Answer

The answer is $1$.

Steps to Solve

Identify the Order of Operations We will use PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right) to solve the expression.
Perform the Division First, we calculate the division part of the expression:

$$ 3 \div \frac{1}{3} $$

This is equivalent to multiplying by the reciprocal:

$$ 3 \times 3 = 9 $$

Rewrite the Expression Now we substitute back into the expression:

$$ 9 - 9 + 1 $$

Perform Subtraction and Addition Next, we do the subtraction and addition from left to right:

First, we subtract:

$$ 9 - 9 = 0 $$

Then, add:

$$ 0 + 1 = 1 $$

The final answer to the expression is $1$.

More Information

The expression features various operations which need to be performed in a specific order. Understanding how to handle division with fractions can often be tricky, as it involves multiplying by the reciprocal.

Tips

Neglecting Division Order: Sometimes, people perform addition or subtraction before completing the division, leading to incorrect results.
Misinterpreting Division by a Fraction: Not recognizing that dividing by a fraction is the same as multiplying by its reciprocal can cause errors.

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