# Dividing With Fractions and Whole Numbers

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Dividing a fraction by a whole number is same as multiplying by its reciprocal.

For example: Let's find the quotient.

 5 7
÷
 4

Dividing a fraction by a whole number is same as multiplying by its reciprocal.

 5 7
÷
 4 1
=
 5 7
×
 1 4
 5 7
×
 1 4
=
 5 × 1 7 × 4
=
 5 28
So,
 5 7
÷   4  =
 5 28

Dividing a whole number by a fraction is same as multiplying by its reciprocal.

For example: Let's find the quotient.

27  ÷
 5 2

Dividing a fraction by a whole number is same as multiplying by its reciprocal.

 27 1
÷
 5 2
=
 27 1
×
 2 5

 27 1
×
 2 5
=
 27 × 2 1 × 5
=
 54 5
=
 10 4 5

So,  27   ÷
 5 2
=
 10 4 5

ds

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