Perform the operation below. Express your answer as a mixed number in simplest form.

minus, 4, one tenth, minus, 2, one fifth




Let's perform the operation step-by-step:

### Expression:

\[
-4 \frac{1}{10} - 2 \frac{1}{5}
\]

### Step 1: Convert the mixed numbers to improper fractions

1. **Convert** \(-4 \frac{1}{10}\):
   
   \[
   -4 \frac{1}{10} = -\left(\frac{4 \times 10 + 1}{10}\right) = -\frac{41}{10}
   \]

2. **Convert** \(-2 \frac{1}{5}\):
   
   \[
   -2 \frac{1}{5} = -\left(\frac{2 \times 5 + 1}{5}\right) = -\frac{11}{5}
   \]

### Step 2: Find a common denominator

The denominators are 10 and 5. The least common denominator is 10.

Convert \(-\frac{11}{5}\) to have a denominator of 10:

\[
-\frac{11}{5} = -\frac{11 \times 2}{5 \times 2} = -\frac{22}{10}
\]

### Step 3: Add the fractions

\[
-\frac{41}{10} - \frac{22}{10} = -\frac{41 + 22}{10} = -\frac{63}{10}
\]

### Step 4: Convert the improper fraction to a mixed number

\[
-\frac{63}{10} = -6 \frac{3}{10}
\]

### Final Answer:

\[
-6 \frac{3}{10}
\]

Would you like more details, or do you have any questions?

### Related Questions:
1. How do you convert mixed numbers to improper fractions?
2. What is the process for finding a common denominator?
3. How do you simplify fractions to their simplest form?
4. How can you convert an improper fraction back to a mixed number?
5. What are some tips for adding and subtracting fractions efficiently?

**Tip:** Always remember to find the least common denominator when adding or subtracting fractions to simplify the process.

Perform the operation below. Express your answer as a mixed number in simplest form. minus, 4, one tenth, minus, 2, one fifth

Learn how to subtract the mixed numbers -4 1/10 and -2 1/5, convert them to improper fractions, find a common denominator, and express the result as a mixed number in simplest form. This solution is suitable for students in Grades 6-8.

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