How do you divide #30\div \frac{ 3}{ 4}#?

1 Answer
EZ as pi
Jan 2, 2017

#40#

Explanation:

To divide by a fraction is the same as multiplying by its reciprocal.

#" "30 color(blue)(div 3/4)#
#color(white)(.........)color(blue)(darr)#
#= 30 color(blue)(xx 4/3)#

#=cancel30^10/1 xx4/cancel3" "larr# cancel where possible

#=40" "larr# multiply straight across

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