To subtract \( \frac{5}{6} \) from \( \frac{5}{7} \), we need to first find a common denominator.

### Step 1: Find a common denominator
The denominators are 7 and 6. The least common denominator (LCD) is the least common multiple (LCM) of 7 and 6. Since 7 and 6 are coprime (they have no common factors other than 1), their LCM is 42.

### Step 2: Convert the fractions
We now rewrite \( \frac{5}{7} \) and \( \frac{5}{6} \) with a denominator of 42.

\[
\frac{5}{7} = \frac{5 \times 6}{7 \times 6} = \frac{30}{42}
\]
\[
\frac{5}{6} = \frac{5 \times 7}{6 \times 7} = \frac{35}{42}
\]

### Step 3: Subtract the fractions
Now subtract the two fractions:

\[
\frac{30}{42} - \frac{35}{42} = \frac{30 - 35}{42} = \frac{-5}{42}
\]

### Final Answer:
\[
\frac{5}{7} - \frac{5}{6} = \frac{-5}{42}
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you find the least common denominator?
2. Can you add fractions with different denominators?
3. How do you simplify fractions?
4. What happens when you subtract a larger fraction from a smaller one?
5. How do you subtract mixed numbers?

**Tip:** Always find the least common denominator to add or subtract fractions efficiently.

Learn how to subtract fractions with different denominators using 5/7 - 5/6 as an example. This step-by-step solution explains how to find the least common denominator and perform the subtraction, resulting in -5/42. Perfect for students in Grades 5-7.

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