We will simplify the expression step by step:

$\frac{7}{3} - \frac{5}{6} - \frac{2}{3}$

Step 1: Find a common denominator

The denominators are 3 and 6. The least common denominator (LCD) is 6. We will convert all fractions to have a denominator of 6:

• $\frac{7}{3}$ becomes $\frac{14}{6}$
• $\frac{5}{6}$ stays as $\frac{5}{6}$
• $\frac{2}{3}$ becomes $\frac{4}{6}$

Now the expression is:

$\frac{14}{6} - \frac{5}{6} - \frac{4}{6}$

Step 2: Perform the subtraction

Combine the fractions:

$\frac{14}{6} - \frac{5}{6} = \frac{9}{6}$

Then:

$\frac{9}{6} - \frac{4}{6} = \frac{5}{6}$

Final Answer:

$\frac{5}{6}$

Would you like a detailed breakdown or have any other questions?

Here are some related questions:

1. What is the LCD of two or more fractions?
2. How do you add or subtract fractions with different denominators?
3. What is the process to simplify a fraction?
4. How can improper fractions be converted to mixed numbers?
5. How does subtraction of negative fractions work?

Tip: Always check if your final fraction can be simplified further!