Question

Evaluate the quotient and express the answer as a repeating decimal--showing the repeating pattern twice: 1 ÷ 7 = _____?????

Answer 1

`0.142857142857`

Explanation:

By evaluate the quotient, the problem simply means to complete the division.

`1/7= 0.142857142857142857`

Now, we need to identify the repeating decimal.

`0 . color(red)142857color(green) 142857color(indigo) 142857`

Therefore, the pattern is `142857`. In the approximated solution above, it repeats `3` times. However, it would actually continue on infinitely. But the problem asks for it to be repeated twice.

`0.142857142857`