Question

Convert 1/15 to a decimal. Enter the decimal using an ellipsis, and then enter the decimal using an overbar. Write the repeating digit three times. Enter the correct answer in the box. Write the digits that re

Answer 1

The decimal form of
`(1)/(15) = 0.0666... = 0.0\overline{666}`.

Explanation:

We proceed to find the decimal form of
`(1)/(15)`, whose description is found below:

1) Multiplying the numerator by 100 and dividing it by 15:

Partial result: 0.06, Remainder: 10

2) Multiplying the remainder by the 10 and dividing it by 15:

Partial result: 0.066, Remainder: 10

3) Multiplying the remainder by the 10 and dividing it by 15:

Partial result: 0.0666, Remainder: 10

Since the decimal number is a infinite and periodical, we conclude that decimal form of
`(1)/(15) = 0.0666... = 0.0\overline{666}`.