How do you convert -0.13 (3 being repeated) to a fraction?

Question

25795 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-21T03:57:38

#-2/15#

We first let -0.13 (3 being repeated) be #x#.

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

#10x = -1.33#

Next, we subtract them.

#10x - x = -1.33 - (-0.13)#

#9x = -1.2#

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

#x = -1.2/9#

#= -12/90#

#= -2/15#

Answer 2 · 2016-03-22T08:58:10

#-0.13#
#x=-0.133#
#10x=-1.33#
#100x=-13.33#
#100x-10x=-13.33-1.33#
#90x=-14.66#
#x=-1466/9000#
now cancel it by yourself