We will solve the expression \( \frac{8}{9} + \frac{-\frac{5}{6}}{\frac{1}{6}} \).

### Step 1: Simplify the division
\[
\frac{-\frac{5}{6}}{\frac{1}{6}} = -\frac{5}{6} \times \frac{6}{1} = -5
\]

Now the expression becomes:
\[
\frac{8}{9} + (-5) = \frac{8}{9} - 5
\]

### Step 2: Convert -5 into a fraction
We rewrite \(-5\) as a fraction with denominator 9:
\[
-5 = \frac{-45}{9}
\]

### Step 3: Perform the addition
\[
\frac{8}{9} - \frac{45}{9} = \frac{8 - 45}{9} = \frac{-37}{9}
\]

Thus, the result is:
\[
\boxed{\frac{-37}{9}}
\]

Would you like more details or have any questions?

Here are 5 related questions to explore:
1. How do you divide fractions?
2. How can you convert a mixed number into an improper fraction?
3. How can you simplify complex fractions?
4. What are the steps to add or subtract fractions?
5. How do you convert a negative fraction into a decimal?

**Tip:** When dividing fractions, always multiply by the reciprocal of the second fraction.

Discover how to solve the fraction expression 8/9 + (−5/6) ÷ 1/6 step-by-step. Learn key concepts such as fraction division and fraction addition, suitable for students in Grades 6-8.

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