Explain why dividing by a fraction results in the same answer as multiplying by its reciprocal.

lets consider an example like

20 divided by 2/4 so we can rewrite as

2/4*  x      =20

so , 2*   x     =20*4

2*     x      =80

x=80/2

x=40

similarly,we can write the fraction as (20*4/2)-we can see that reciprocal of the fraction 2/4 is 4/2

x=20*4/2=80/2=40

so, we can say that dividing by a fraction results in the same answer as multiplying by its reciprocal.

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step-by-step explanation: