195k views
4 votes
Write 3.777777 as a fraction

User Chris Bode
by
4.8k points

1 Answer

4 votes

Answer:


\huge\boxed{\sf (34)/(9)\ \ OR \ \ 3(7)/(9) }

Explanation:

Let

x = 3.777....... (1)

Then

10x = 37.777..... (2)

Subtracting (1) from (2)

10x - x = 37.7777..... - 3.77777.......

9x = 34

Dividing both sides by 9

x = 34 / 9

x =
3 \ (7)/(9)


\rule[225]{225}{2}

Hope this helped!

~AnonymousHelper1807

User Sean Worle
by
3.8k points