To convert the mixed number -11 5/6 to a decimal, follow these steps:
- Separate the whole number and the fraction: The mixed number is composed of a whole number, -11, and a fraction, 5/6.
- Convert the fraction to a decimal: To do this, divide the numerator (5) by the denominator (6):
- 5 รท 6 = 0.8333 (repeating)
- Add the decimal to the whole number: Since the whole number is negative, you will add the decimal value to it, keeping the negative sign:
-11 + (-0.8333) = -11.8333
- Write the final result: The decimal representation of -11 5/6 is -11.8333.
Thus, -11 5/6 as a decimal is -11.8333.