What is -0.5(3 repeating) written as a fraction?

1 Answer
Alan P.
Nov 14, 2015

-5.333bar3 = -16/3−5.333¯3=−163

Explanation:

Lets for simplicity initially ignore the minus sign.

Let x=5.33333...
therefore
color(white)("XXX")10x=53.33333...
from which is follows that
color(white)("XXX")9x = 53.3333... - 5.3333... =48
and (dividing by 9)
color(white)("XXX")x=48/9 = 16/3

If 5.3333... = x = 16/3
then
-5.3333... = -16/3

Related questions
See all questions in Conversion of Decimals, Fractions, and Percent
Impact of this question
6003 views around the world
You can reuse this answer
Creative Commons License