To solve this problem, we need to find out how much of the solution the scientist used from the portion available. The scientist has $\frac{3}{4}$ of a bottle, and she used $\frac{1}{6}$ of this amount.

To find out how much of the bottle she used, we multiply these two fractions:

$\text{Amount used} = \left( \frac{1}{6} \right) \times \left( \frac{3}{4} \right)$

Now, let's perform the multiplication:

$\text{Amount used} = \frac{1 \times 3}{6 \times 4} = \frac{3}{24}$

We can simplify $\frac{3}{24}$ by dividing the numerator and denominator by their greatest common divisor (which is 3):

$\frac{3}{24} = \frac{1}{8}$

So, the scientist used $\frac{1}{8}$ of the entire bottle.

Summary:

The scientist used $\frac{1}{8}$ of the bottle in the experiment.

Would you like more details or have any other questions?

Related Questions:

1. How much of the solution is left in the bottle after the experiment?
2. If the bottle originally contains 500 ml, how much solution did the scientist use?
3. What fraction of the remaining solution would be used if another $\frac{1}{6}$ is taken?
4. How many times can the scientist use $\frac{1}{6}$ of the remaining solution?
5. How much solution would be left if the scientist used another $\frac{1}{8}$ of the bottle?

Tip: When multiplying fractions, multiply the numerators together and the denominators together. Then, simplify if possible.