How do you convert -6.3 (3 being repeated) to a fraction?

Question

2703 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-18T03:58:39

#-19/3#

We first let -6.3 (3 being repeated) be #x#.

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

#10x = -63.3#

Next, we subtract them.

#10x - x = -63.3 - (-6.3)#

#9x = -57#

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

#x = -57/9#

#= -19/3#