https://file.aiquickdraw.com/mathbot/file/1730102858436i6slpakv.jpg

Let's solve the problem step-by-step.

The expression is:
\[
2.7 : 0.4 + \frac{3}{2} : 2 - \frac{4}{5}
\]

### Step 1: Evaluate each part separately.

1. **Evaluate \(2.7 : 0.4\):**
   \[
   2.7 \div 0.4 = \frac{2.7}{0.4} = 6.75
   \]

2. **Evaluate \(\frac{3}{2} : 2\):**
   \[
   \frac{3}{2} \div 2 = \frac{3}{2} \times \frac{1}{2} = \frac{3}{4} = 0.75
   \]

3. **Evaluate \(- \frac{4}{5}\):**
   \[
   - \frac{4}{5} = -0.8
   \]

### Step 2: Add up all the values obtained.

Now we have:
\[
6.75 + 0.75 - 0.8
\]

4. **Calculate \(6.75 + 0.75\):**
   \[
   6.75 + 0.75 = 7.5
   \]

5. **Subtract \(0.8\) from \(7.5\):**
   \[
   7.5 - 0.8 = 6.7
   \]

### Final Answer:
The answer is **6.7**. However, none of the answer choices \(10\), \(8\), or \(2\) match this result, so it appears that none of the provided answers are correct.

Would you like more details or have any questions?

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### Additional Practice Questions:
1. What is the result of \(4.5 : 0.3 + 2.2 : 1.1\)?
2. Calculate \(\frac{5}{3} : 3 - 0.4 + 2\).
3. Simplify \(3.2 : 0.5 + 1 - 1.5\).
4. Evaluate \(\frac{7}{4} : 2 + 0.5 : 0.25\).
5. What is \(3.5 : 0.7 + \frac{5}{2} : 1\)?

### Quick Tip:
Always solve division operations before proceeding with addition and subtraction to follow the order of operations (PEMDAS/BODMAS).

Learn how to solve the expression 2.7 ÷ 0.4 + 3/2 ÷ 2 - 4/5 by applying division, addition, and subtraction. This problem demonstrates the use of fractions and decimals and is suitable for middle school students.

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