Question

2.67 (7 repeating) as a fraction

Answer 1

• Answer:

241/90

2 61/90

• Explanation:

2.67(7) =

= (2677 - 267)/900

= 2410⁽¹⁰/900

= 241/90

= 2 61/90

Answer 2

241/90 or 2 61/90

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