Write the fraction in the simplest form:
`143/(165)`

Answer

To simplify the fraction \( \frac{143}{165} \), follow these steps:

### Step 1: Identify the greatest common divisor (GCD)
First, we need to find the GCD of the numerator (143) and the denominator (165).

### Step 2: Factor the numbers
- The factors of 143 are:
- 143 can be divided by 11 (since \( 143 \div 11 = 13 \)), so the factors are \( 11 \times 13 \).
- The factors of 165 are:
- 165 can be divided by 11 (since \( 165 \div 11 = 15 \)), so the factors are \( 11 \times 15 \).

### Step 3: Simplify the fraction
Now we can rewrite the fraction using the factors:
\[ \frac{143}{165} = \frac{11 \times 13}{11 \times 15} \]
Since both the numerator and the denominator have a common factor of 11, we can cancel it out:
\[ \frac{11 \times 13}{11 \times 15} = \frac{13}{15} \]

### Step 4: Check for further simplification
Now, we need to check if \( \frac{13}{15} \) can be simplified further. The numbers 13 and 15 do not have any common factors other than 1.

### Final Answer
Thus, the fraction \( \frac{143}{165} \) in its simplest form is:
\[ \frac{13}{15} \]

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