Question

0.27 recurring as a fraction please

Answer 1

`(3)/(11)`

Explanation:

assuming the recurring digits are 0.272727.... , then

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

let x = 0.2727.... (1) ← multiply both sides by 100

100x = 27.2727... (2)

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

99x = 27 ( divide both sides by 99 )

x =
`(27)/(99)` =
`(3)/(11)` ← in simplest form

Answer 2

Jimrgrant1 has already answered this correctly, 3/11.

Explanation:

I took 1.0 and divided it by 0.272727 to give 3.666666 . . .

I looked for value that would convert this into a whole number when multiplied. 3 times 3.666666 . . . is equal to 11.

That would mean a fraction equal to 0.272727 . . . would be 3/11