How do you write 0.0064 as a fraction?

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Answer 1 · 2016-10-28T20:37:23

#0.0064#

#=0*10^0 + 0*10^-1 + 0*10^-2 + 6*10^-3 + 4*10^-4 #

#=0/1 + 0/10 + 0/100 + 6/1000 + 4/10000#

#=6/1000 + 4/10000#

#=(6*10)/(1000*10) + 4/10000#

#=60/10000 + 4/10000#

#=64/10000#

#=32/5000#

#=16/2500#

#=8/1250#

#=4/625#

Answer 2 · 2016-10-28T20:53:39

#4/625#

Decimal are based on powers of 10.

The place values to the right of the decimal point are:
tenths, hundredths, thousandths, ten thousandths and so on.

#0.0064# has 4 decimal places and therefore can be written as a fraction with a denominator as a power or 10 with 4 zeros.

#0.0064 = 64/10000#

All that remains is to cancel it down to its simplest form.
Divide top and bottom by #16#

#(64div16)/(10000 div 16#

= #4/625#