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Let's solve each of the fractional expressions step by step.

### 1. First Expression: 
\[
\frac{2}{3} + \frac{1}{12}
\]
To add fractions, we need a common denominator. The least common denominator (LCD) of 3 and 12 is 12.

- Convert \(\frac{2}{3}\) to have the denominator of 12:
\[
\frac{2}{3} = \frac{8}{12}
\]
Now, add the fractions:
\[
\frac{8}{12} + \frac{1}{12} = \frac{9}{12}
\]
Simplify:
\[
\frac{9}{12} = \frac{3}{4}
\]
So, the result is:
\[
\frac{2}{3} + \frac{1}{12} = \frac{3}{4}
\]

### 2. Second Expression: 
\[
\frac{2}{3} - \frac{1}{2}
\]
Again, find a common denominator. The LCD of 3 and 2 is 6.

- Convert the fractions:
\[
\frac{2}{3} = \frac{4}{6}, \quad \frac{1}{2} = \frac{3}{6}
\]
Now, subtract:
\[
\frac{4}{6} - \frac{3}{6} = \frac{1}{6}
\]
So, the result is:
\[
\frac{2}{3} - \frac{1}{2} = \frac{1}{6}
\]

### 3. Third Expression:
\[
\frac{7}{9} - \frac{1}{3}
\]
Find a common denominator. The LCD of 9 and 3 is 9.

- Convert \(\frac{1}{3}\) to have a denominator of 9:
\[
\frac{1}{3} = \frac{3}{9}
\]
Now, subtract:
\[
\frac{7}{9} - \frac{3}{9} = \frac{4}{9}
\]
So, the result is:
\[
\frac{7}{9} - \frac{1}{3} = \frac{4}{9}
\]

### Final Answers:
1. \(\frac{2}{3} + \frac{1}{12} = \frac{3}{4}\)
2. \(\frac{2}{3} - \frac{1}{2} = \frac{1}{6}\)
3. \(\frac{7}{9} - \frac{1}{3} = \frac{4}{9}\)

Would you like more details on any of these steps?

Here are 5 related questions:
1. How do you find the least common denominator (LCD) of two fractions?
2. Can you explain how to subtract fractions with different denominators?
3. How do you simplify a fraction after performing addition or subtraction?
4. What happens when the numerator is larger than the denominator in a subtraction problem?
5. How can you convert mixed fractions into improper fractions for easier calculation?

**Tip:** Always simplify fractions to their lowest terms after performing operations!

Solve the following fraction problems: 2/3 + 1/12, 2/3 - 1/2, 7/9 - 1/3

Learn how to solve fractional addition and subtraction problems with detailed solutions. This guide covers the concepts of finding the least common denominator and simplifying fractions. Suitable for students in Grades 5-7.

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