Question

Question #bf504

Answer 1

`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`

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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`