How do you write the decimal 0.081 as a fraction?

1 Answer
Nov 27, 2016

#81/1000#

Explanation:

Comparing the decimal to the fraction equivalent we have:

Units + #10^("ths")+100^("ths")+1000^("ths")#
#color(white)(.)darr" "darr" "darr" "darr#
#color(white)(..)0 " "0" "8" "1#

So we have : #8/100+1/1000#

Multiply by 1 and you do not change the value. However 1 comes in many forms.

#" "color(green)( [8/100color(red)(xx1)]+1/1000#

#=color(green)( [8/100color(red)(xx10/10)]+1/1000#

#=80/1000+1/1000#

# = (80+1)/1000 = 81/1000#