The image contains handwritten mathematical calculations. Here is the transcription of the content:

1. \( 1 + 2 + 3 + 4 + 5 + \ldots + 2024 = \frac{2024 \times 2025}{2} \)

2. \( \text{Tính} \)
\[ 1,5 + 1 - 0,75 \]
\[ 2,5 + 5 - 1,25 \]
\[ 0,375 - 0,3 + \frac{3}{11} + \frac{23}{112} \]
\[ 0,625 + \frac{5}{112} + 5 - 0,5 \]

The first part is the sum of an arithmetic series from 1 to 2024. The formula for the sum of the first \( n \) natural numbers is \( \frac{n(n+1)}{2} \). Here, \( n = 2024 \), so the sum is:
\[ \frac{2024 \times 2025}{2} = 2024 \times 1012 = 2048128 \]

For the second part, it appears to be a series of arithmetic operations. Let's calculate each line separately:

1. \( 1,5 + 1 - 0,75 = 1.5 + 1 - 0.75 = 2.5 - 0.75 = 1.75 \)

2. \( 2,5 + 5 - 1,25 = 2.5 + 5 - 1.25 = 7.5 - 1.25 = 6.25 \)

3. \( 0,375 - 0,3 + \frac{3}{11} + \frac{23}{112} \)
\[ 0.375 - 0.3 = 0.075 \]
\[ \frac{3}{11} \approx 0.2727 \]
\[ \frac{23}{112} \approx 0.2054 \]
\[ 0.075 + 0.2727 + 0.2054 = 0.5531 \]

4. \( 0,625 + \frac{5}{112} + 5 - 0,5 \)
\[ 0.625 + \frac{5}{112} \approx 0.625 + 0.0446 = 0.6696 \]
\[ 0.6696 + 5 - 0.5 = 5.1696 - 0.5 = 4.6696 \]

So, the results are:
1. \( 1.75 \)
2. \( 6.25 \)
3. \( 0.5531 \)
4. \( 4.6696 \)