https://file.aiquickdraw.com/mathbot/file/17265811096853nbnzayo.jpg

Let's go through the exercises in the image you uploaded, which seem to involve mental arithmetic, Roman numerals, and fraction operations.

### Ülesanne 1: Arvuta peast (Mental calculation)
1. \( 1.85 - \frac{3}{3} = 1.85 - 1 = 0.85 \)
2. \( \frac{1}{4} + 0.75 = 0.25 + 0.75 = 1 \)
3. \( 41 - 10 \cdot 0.41 = 41 - 4.1 = 36.9 \)
4. \( 3^2 - 2^3 = 9 - 8 = 1 \)

### Ülesanne 2: Roman numerals
You are asked to convert the highlighted portions into Roman numerals:
- **juunist kuni 2. juulini 2017** should be written as:
  - June 2 to July 2, 2017 = **II** (2), **II** (2), **MMXVII** (2017)
- **40,000 participants** is represented as **XL** (40) and **M** (1000) to indicate 40,000: **XL,000**.

### Ülesanne 3: Arvuta (Solve the fractions and convert to mixed numbers)
1. \( 2 \frac{1}{9} + 3.5 = 2 \frac{1}{9} + \frac{7}{2} = \frac{19}{9} + \frac{63}{18} = \frac{38 + 63}{18} = \frac{101}{18} \approx 5 \frac{11}{18} \)
2. \( 7.5 - \frac{6}{11} = \frac{15}{2} - \frac{6}{11} = \frac{165 - 12}{22} = \frac{153}{22} \approx 6 \frac{21}{22} \)
3. \( 3 \frac{1}{5} \cdot \frac{1}{12} = \frac{16}{5} \cdot \frac{1}{12} = \frac{16}{60} = \frac{4}{15} \)
4. \( 3 \frac{7}{11} - \frac{7}{14} = \frac{40}{11} - \frac{1}{2} = \frac{80 - 11}{22} = \frac{69}{22} \approx 3 \frac{3}{22} \)

Would you like more details or explanations on any of these calculations?

Here are some relative questions to consider:
1. What are the rules for converting decimal numbers into fractions?
2. How do you convert fractions into mixed numbers?
3. What are some tips for solving mixed fraction problems quickly?
4. How do you represent large numbers like 40,000 in Roman numerals?
5. How do you simplify complex expressions that involve both fractions and whole numbers?

**Tip:** When converting between fractions and decimals, try to recognize common patterns, such as \( \frac{1}{4} = 0.25 \) and \( \frac{1}{2} = 0.5 \). This can speed up calculations in your head.

2018.a. tasemetöö ülesanded: The tasks in the image include mental arithmetic, Roman numeral conversion, and mixed fraction operations.

Solve mental arithmetic tasks, convert modern dates and numbers into Roman numerals, and handle fractions and mixed numbers in this set of exercises from the 2018 Tasemetöö. Suitable for Grades 5-7.

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