Convert this number 0.4 into a simplifed fraction?

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Answer 1 · 2018-04-05T00:10:55

The simplified fraction would be #2/5#.

First, write the number as itself over #1#:

#color(white)=0.4#

#=0.4/1#

Now, multiply the top and the bottom by #10# to get rid of the decimal:

#=0.4/1color(red)(*10/10)#

#=(0.4color(red)(*10))/(1color(red)(*10))#

#=4/(1color(red)(*10))#

#=4/10#

Now, cancel the common factors:

#=(2*color(blue)2)/(5*color(blue)2)#

#=(2*color(red)cancelcolor(blue)2)/(5*color(red)cancelcolor(blue)2)#

#=2/5#

That's as simplified as it gets. You can check your work using a calculator:

Hope this helped!