To solve \( 14 \frac{1}{7} - 5 \frac{1}{5} \), follow these steps:

### Step 1: Convert mixed numbers to improper fractions.
\[
14 \frac{1}{7} = \frac{14 \times 7 + 1}{7} = \frac{99}{7}
\]
\[
5 \frac{1}{5} = \frac{5 \times 5 + 1}{5} = \frac{26}{5}
\]

### Step 2: Find the common denominator.
The denominators are 7 and 5, so the least common denominator (LCD) is 35.

### Step 3: Rewrite fractions with the common denominator.
\[
\frac{99}{7} = \frac{99 \times 5}{7 \times 5} = \frac{495}{35}
\]
\[
\frac{26}{5} = \frac{26 \times 7}{5 \times 7} = \frac{182}{35}
\]

### Step 4: Subtract the fractions.
\[
\frac{495}{35} - \frac{182}{35} = \frac{495 - 182}{35} = \frac{313}{35}
\]

### Step 5: Convert the improper fraction back to a mixed number.
\[
\frac{313}{35} = 8 \frac{33}{35}
\]

So, \( 14 \frac{1}{7} - 5 \frac{1}{5} = 8 \frac{33}{35} \).

Would you like more details or have any questions?

### Related questions:
1. How do you convert mixed numbers into improper fractions?
2. How do you find the least common denominator (LCD)?
3. How do you simplify improper fractions into mixed numbers?
4. What is the process to subtract mixed numbers without converting to improper fractions?
5. How do you convert fractions back into mixed numbers after subtraction?

### Tip:
When dealing with mixed numbers, always convert them to improper fractions first to simplify addition or subtraction.

Learn how to subtract mixed numbers like 14 1/7 - 5 1/5 by converting them into improper fractions, finding a common denominator, and simplifying the result. This step-by-step guide is ideal for students in Grades 5-7.

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