https://file.aiquickdraw.com/mathbot/file/1726016373574nieyp2v8.jpg

The expression given in the image is:

\[
3 \frac{1}{3} - \frac{1}{2} : \frac{2}{3}
\]

Let's break this down step by step.

### Step 1: Convert the mixed number
The first part of the expression, \( 3 \frac{1}{3} \), is a mixed number. We convert it to an improper fraction:

\[
3 \frac{1}{3} = \frac{3 \times 3 + 1}{3} = \frac{10}{3}
\]

So the expression becomes:

\[
\frac{10}{3} - \frac{1}{2} : \frac{2}{3}
\]

### Step 2: Handle the division
Division of fractions can be handled by multiplying by the reciprocal of the second fraction. Therefore, the division \( \frac{1}{2} : \frac{2}{3} \) becomes:

\[
\frac{1}{2} \times \frac{3}{2} = \frac{3}{4}
\]

Now, the expression is:

\[
\frac{10}{3} - \frac{3}{4}
\]

### Step 3: Subtract the fractions
To subtract these fractions, we need a common denominator. The least common denominator between 3 and 4 is 12.

- Convert \( \frac{10}{3} \) to \( \frac{40}{12} \)
- Convert \( \frac{3}{4} \) to \( \frac{9}{12} \)

Now, subtract:

\[
\frac{40}{12} - \frac{9}{12} = \frac{31}{12}
\]

### Final Answer:

The result of the operation is \( \frac{31}{12} \), or as a mixed number:

\[
2 \frac{7}{12}
\]

Would you like more details or clarifications on any of the steps?

Here are some related questions:
1. How do you multiply fractions?
2. How can we find the least common denominator of two fractions?
3. What are the steps to convert a mixed number to an improper fraction?
4. How do you simplify fractions after subtraction?
5. Why do we multiply by the reciprocal when dividing fractions?

**Tip:** Always convert mixed numbers to improper fractions before performing arithmetic operations.

Hasil dari operasi 3 1/3 - 1/2 : 2/3 adalah ...

Learn how to solve the expression 3 1/3 - 1/2 ÷ 2/3 with this detailed step-by-step guide. This problem covers key mathematical concepts like mixed numbers, fractions, and reciprocal multiplication. Suitable for students in Grades 6-8.

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