Solve Fraction Division: 8/9 ÷ 1/9 Step-by-Step

To solve this problem, we'll follow these steps:

• Step 1: Identify the given fractions and the operation.
• Step 2: Take the reciprocal of the second fraction.
• Step 3: Multiply the first fraction by this reciprocal.
• Step 4: Simplify the resulting fraction.

Now, let's work through each step:
Step 1: We are given $\frac{8}{9}$ and need to divide it by $\frac{1}{9}$.
Step 2: Find the reciprocal of $\frac{1}{9}$, which is $\frac{9}{1}$.
Step 3: Multiply $\frac{8}{9}$ by $\frac{9}{1}$:

$\frac{8}{9} \times \frac{9}{1} = \frac{8 \times 9}{9 \times 1} = \frac{72}{9}$

Step 4: Simplify $\frac{72}{9}$ by dividing both the numerator and denominator by 9:

$\frac{72}{9} = 8$

Therefore, the solution to the problem is $8$.