How do you write the decimal 0.081 as a fraction?

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Answer 1 · 2016-11-27T21:51:04

$81/1000$

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.

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

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

$=80/1000+1/1000$

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