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

User Tillito
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1 Answer

3 votes

Answer:

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.

User Kofo
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