Question

What is 3.7 repeating, as a mixed number

Answer 1

I believe it is 3 7/11

Answer 2

`3(7)/(9)`

Explanation:

We can rewrite 3.7 repeating as 3.7777777.....

Let x = 3.7777777....... -------(1) [multiply 10 to both side]

10x = 37.777777...... ----------(2) [subtract equation (1) from equation(2)]

10x - x = 37.777777 - 3.7777777

9x = 34

x =
`(34)/(9)`

=
`3(7)/(9)`

The mixed number of 3.7 repeating is
`3(7)/(9)`