Question

Write the following numbers in p by q form 2.015151515...​

Answer 1

`(133)/(66)`

Explanation:

we require 2 equations with the repeating digits placed after the decimal point.

let x = 2.01515... ( multiply both sides by 10 and 1000 )

10x = 20.1515.... (1)

1000x = 2015.1515... (2)

subtract (1) from (2) thus eliminating the repeating digits

990x = 1995 ( divide both sides by 990 )

x =
`(1995)/(990)` =
`(133)/(66)` ← in simplest form