Sure, I can help you with that. Here is a basic implementation that satisfies your request:

```javascript
// Common function to round the result to 2 decimal places
function roundToTwoDecimals(num) {
    return Math.round((num + Number.EPSILON) * 100) / 100;
}

// Function to convert Fahrenheit to Celsius
function fahrenheitToCelsius(fahrenheit) {
    var celsius = (fahrenheit - 32) * (5/9);
    return roundToTwoDecimals(celsius);
}

// Function to convert Celsius to Fahrenheit
function celsiusToFahrenheit(celsius) {
    var fahrenheit = (celsius * (9/5)) + 32;
    return roundToTwoDecimals(fahrenheit);
}
```

In this code, the `fahrenheitToCelsius` function accepts a number (representing degrees Fahrenheit) and converts it to Celsius using the standard formula. The `celsiusToFahrenheit` function does the opposite.

Both functions call the `roundToTwoDecimals` function to ensure the returned value is rounded to two decimal places. This function uses a common trick to avoid precision errors in floating point arithmetic by adding a very small number (`Number.EPSILON`) before rounding.
spam fails_task lang_mismatch pii not_appropriate hate_speech sexual_content quality toxicity humor helpfulness creativity violence