How do you simplify #((3v)/(pir^2))/3?#

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Answer 1 · 2017-05-13T14:01:41

#v/(pir^2)#

The process is exactly the same as dividing with arithmetic fractions.

#((3v)/(pir^2))/(color(blue)(3)# actually means #((3v)/(pir^2))/color(blue)(3/1)#

This can be written as a division as:

#(3v)/(pir^2) color(blue)(div3/1)#

To divide by a fraction is the same as multiplying by the reciprocal:

#=(3v)/(pir^2) color(blue)(xx 1/3)" "larr# now cancel if possible

#=(cancel3v)/(pir^2) xx 1/cancel3" "# and multiply straight across

#= v/(pir^2)#