How do you convert 4.4 (4 being repeated) to a fraction?

Question

11363 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-18T03:56:49

#40/9#

We first let 4.4 (4 being repeated) be #x#.

Since #x# is recurring in 1 decimal places, we multiply it by 10.

#10x = 44.4#

Next, we subtract them.

#10x - x = 44.4 - 4.4#

#9x = 40#

Lastly, we divide both sides by 9 to get #x# as a fraction.

#x = 40/9#