Which of these choices is true about the decimal form of the number shown?

Question

-5/6

A.
It is neither a terminating decimal nor a repeating decimal.
B.
It is a terminating decimal.
C.
It is a repeating decimal.
D.
It is both a terminating decimal and a repeating decimal.

Answer 1

To determine the decimal form of the fraction \(-\frac{5}{6}\), we can perform the division of 5 by 6.

When you divide 5 by 6, you get:

\[ 5 \div 6 = 0.8333\ldots \]

The decimal representation is \(0.8333...\), which means that the digit "3" repeats indefinitely.

From the choices provided, the correct answer is:

C. It is a repeating decimal.