To subtract the fractions \(\frac{1}{9}\) and \(\frac{5}{7}\), we first need to find a common denominator. 

1. The denominators are 9 and 7, and their least common denominator (LCD) is 63.

2. Convert each fraction:
   - \(\frac{1}{9} = \frac{1 \times 7}{9 \times 7} = \frac{7}{63}\)
   - \(\frac{5}{7} = \frac{5 \times 9}{7 \times 9} = \frac{45}{63}\)

3. Subtract the numerators:
   \[
   \frac{7}{63} - \frac{45}{63} = \frac{7 - 45}{63} = \frac{-38}{63}
   \]

So, the result is:

\[
\frac{1}{9} - \frac{5}{7} = -\frac{38}{63}
\]

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you add fractions with different denominators?
2. What is the least common denominator (LCD)?
3. How do you multiply two fractions?
4. What is the reciprocal of a fraction?
5. How do you solve equations involving fractions?

**Tip:** Always simplify fractions when possible for a cleaner final answer.

Learn how to subtract fractions \(\frac{1}{9}\) and \(\frac{5}{7}\) step-by-step with a detailed solution. Understand the concept of finding a common denominator and simplifying fractions. Suitable for students in Grades 5-8.

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