His little sister's birthday is next week, so Vincent is planning a bubble-themed birthday party! He buys a big bottle of bubble solution and divides it equally among 6 small bottles. Each small bottle holds $$ \frac{1}{8} $$ of a gallon of bubble solution. Use an equation to find the amount of bubble solution in the big bottle. To write a fraction, use a slash (/) to separate the numerator and denominator. gallon

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To find the amount of bubble solution in the big bottle, we can set up an equation based on the information provided.

1. **Identify the known values:**
   - Each small bottle holds $$ \frac{1}{8} $$ of a gallon.
   - There are 6 small bottles.

2. **Set up the equation:**
   Let $$ B $$ be the amount of bubble solution in the big bottle (in gallons). Since the big bottle is divided equally among the 6 small bottles, we can express this as:
   $$
   B = 6 \times \left(\frac{1}{8}\right)
   $$

3. **Calculate the total amount of bubble solution in the big bottle:**
   Now, we will perform the multiplication:
   $$
   B = 6 \times \frac{1}{8}
   $$

Let's calculate this.
Calculate the value by following steps:
- step0: Calculate:
  $$6\times \frac{1}{8}$$
- step1: Reduce the numbers:
  $$3\times \frac{1}{4}$$
- step2: Multiply:
  $$\frac{3}{4}$$
The calculation gives us:

$$
B = 6 \times \frac{1}{8} = \frac{3}{4}
$$

Thus, the amount of bubble solution in the big bottle is $$ \frac{3}{4} $$ gallons.
The big bottle contains $$ \frac{3}{4} $$ gallons of bubble solution.

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