Respuesta :

mhanifa

Answer:

241/90 or 2 61/90

Step-by-step explanation:

Let's call the given number 2.67(7) = x

Then use below steps:

  • 10x = 26.7(7)
  • 100x = 267.7(7)
  • 100x - 10x = 241                           ⇒ subtract to get rid of the repeated part
  • 90x=241                                       ⇒ solve to get fraction
  • x= 241/90 = 2 61/90                    ⇒ answer
  • Answer:

241/90

2  61/90

  • Step-by-step explanation:

2.67(7) =

= (2677 - 267)/900

= 2410⁽¹⁰/900

= 241/90

= 2  61/90