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 $16$

$(64div16)/(10000 div 16$

= $4/625$