# 5 2/3 divided by 4

#### Understand the Problem

The question is asking us to perform the division of a fraction, specifically 5 2/3 divided by 4. This will involve converting the mixed number into an improper fraction and then applying the rules of division for fractions.

\frac{17}{12}

#### Steps to Solve

1. Convert the mixed number to an improper fraction

First, convert the mixed number $5 \frac{2}{3}$ to an improper fraction. To do this:

$$5 \frac{2}{3} = \frac{5 imes 3 + 2}{3} = \frac{15 + 2}{3} = \frac{17}{3}$$

2. Rewrite the division as multiplication by the reciprocal

To divide by 4, we multiply by the reciprocal of 4. The reciprocal of 4 is $\frac{1}{4}$. So:

$$\frac{17}{3} \div 4 = \frac{17}{3} \times \frac{1}{4}$$

3. Multiply the fractions

Multiply the numerators together and the denominators together:

$$\frac{17 imes 1}{3 imes 4} = \frac{17}{12}$$

4. Simplify if necessary

The fraction $\frac{17}{12}$ is already in its simplest form.

Therefore, the answer is $\frac{17}{12}$.