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

$= v/(pir^2)$

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