Question

What is 2.161616 as a fraction and as a mixed number

Answer 1

see explanation

Explanation:

We require to create 2 equations with the repeating value placed after the decimal point.

let x = 2.1616...... → (1) Multiply both sides by 100

100x = 216.1616..... → (2)

Subtract (1) from (2) to eliminate the repeating decimal.

99x = 214 ( divide both sides by 99 )

x =
`(214)/(99)` = 2
`(16)/(99)` as a mixed number

Thus

2.1616...... =
`(214)/(99)` = 2
`(16)/(99)`