Solve the Ratio Equation: 4 to 6/8 Comparison

To solve this problem, we'll proceed as follows:

• Step 1: Simplify the fraction $\frac{6}{8}$.
• Step 2: Use the formula for dividing by a fraction by multiplying by its reciprocal.
• Step 3: Simplify the resulting fraction or convert it to a mixed number.

Let's work through these steps:

Step 1: Simplify $\frac{6}{8}$.
$\frac{6}{8}$ simplifies to $\frac{3}{4}$ by dividing the numerator and the denominator by 2 (the greatest common divisor).

Step 2: Find the reciprocal of $\frac{3}{4}$ and multiply it by 4.
The reciprocal of $\frac{3}{4}$ is $\frac{4}{3}$.
So, $4 \div \frac{3}{4} = 4 \times \frac{4}{3} = \frac{16}{3}$.

Step 3: Simplify $\frac{16}{3}$ to a mixed number.
$\frac{16}{3}$ can be expressed as $5\frac{1}{3}$ since 16 divided by 3 is 5 with a remainder of 1.

Therefore, the solution to the problem is $5\frac{1}{3}$.