Question #bf504

1 Answer
sente
Oct 12, 2016

#4 7/11 -: 1/11=51#

Explanation:

#4 7/11 -: 1/11 = (4+7/11)-:1/11#

#=(44/11+7/11)-:1/11#

#=(51/11)-:1/11#

#=(51/11)/(1/11)#

#=(51/11)/(1/11)*11/11#

#=(51/11*11)/(1/11*11)#

#=51/1#

#=51#

A common trick when dividing by a fraction is to take its reciprocal and then multiply, i.e.

#x-:a/b = x*b/a#

The process used above shows why this works:

#x-:a/b = x/(a/b) = (x*b/a)/(a/b*b/a) = (x*b/a)/1=x*b/a#

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