Find: `3(1)/(3)div(-4)`

Answer

To solve the problem \( 3 \frac{1}{3} \div (-4) \), we will follow these steps:

### Step 1: Convert the mixed number to an improper fraction
The mixed number \( 3 \frac{1}{3} \) can be converted to an improper fraction.

To do this:
- Multiply the whole number (3) by the denominator (3): \( 3 \times 3 = 9 \)
- Add the numerator (1) to this product: \( 9 + 1 = 10 \)
- Place this result over the original denominator (3):

\[ 3 \frac{1}{3} = \frac{10}{3} \]

### Step 2: Rewrite the division as multiplication
Now we rewrite the division by \(-4\) as multiplication by the reciprocal of \(-4\):

\[ \frac{10}{3} \div (-4) = \frac{10}{3} \times \left(-\frac{1}{4}\right) \]

### Step 3: Multiply the fractions
Now we multiply the fractions:

\[ \frac{10 \times (-1)}{3 \times 4} = \frac{-10}{12} \]

### Step 4: Simplify the fraction
Now we simplify \(\frac{-10}{12}\):

- Both the numerator and the denominator can be divided by their greatest common divisor (GCD), which is 2:

\[ \frac{-10 \div 2}{12 \div 2} = \frac{-5}{6} \]

### Final Answer
Thus, the final answer is:

\[ 3 \frac{1}{3} \div (-4) = \frac{-5}{6} \]

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