https://r2.erweima.ai/mathbot/image/1725900724661cx78ibk4.jpg

The image you provided seems to show two vertical sequences of expressions involving fractions. Here's an attempt to describe and extract what I can see:

1. The left-hand side shows:
   \[
   \frac{2}{7} - \frac{1}{3} = 
   \]
   followed by a series of steps, likely indicating further operations or simplifications.

2. The right-hand side shows:
   \[
   \frac{2}{3} + \frac{4}{5} = 
   \]
   followed by similar steps.

These are typical arithmetic operations involving fractions. Let's break them down.

### For the left-hand side: 
\[
\frac{2}{7} - \frac{1}{3}
\]
To subtract these fractions, we need to find a common denominator. The least common denominator (LCD) of 7 and 3 is 21. Therefore:
\[
\frac{2}{7} = \frac{6}{21}, \quad \frac{1}{3} = \frac{7}{21}
\]
Now subtract:
\[
\frac{6}{21} - \frac{7}{21} = \frac{-1}{21}
\]

### For the right-hand side: 
\[
\frac{2}{3} + \frac{4}{5}
\]
Here, the least common denominator of 3 and 5 is 15. Thus:
\[
\frac{2}{3} = \frac{10}{15}, \quad \frac{4}{5} = \frac{12}{15}
\]
Now add:
\[
\frac{10}{15} + \frac{12}{15} = \frac{22}{15}
\]

These are the simplified results for both operations.

---

Do you need further details or explanations on these steps? Here are some related questions:

1. How do you determine the least common denominator (LCD)?
2. What are the general steps for subtracting fractions?
3. How do improper fractions differ from mixed numbers?
4. What methods can be used to simplify complex fractions?
5. How can you estimate fractional sums or differences mentally?

**Tip**: Always simplify fractions at the end of your calculation to ensure clarity and precision.

The image contains two mathematical expressions involving fractions. The left-hand side shows 2/7 - 1/3, while the right-hand side shows 2/3 + 4/5.

Learn how to solve problems involving the addition and subtraction of fractions with different denominators. This includes using the least common denominator (LCD) method to simplify the expressions. The problems 2/7 - 1/3 and 2/3 + 4/5 are broken down step by step. Suitable for students in Grades 5-7.

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