Question

What is the decimal expansion of 7/22

Answer 1

.318 (18 repeating)

This value is considered irrational and would be best used in an equation as a fraction to prevent rounding errors.

Answer 2

`(7)/(2)=0.318181818181818181818181818...`

Explanation:

The given number is

`(7)/(22)`

This is a rational number, because it's infinite and repeats a decimal pattern, as follows

`(7)/(2)=0.318181818181818181818181818...`

The three suspensive points means that this number repeats the pattern until infinite, this type of numbers are called periodical number, and its periodicity is in this case
`18`. So, the expansion of the number is expresses as the expression above.