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Dividing Fractions by Fractions

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Dividing a fraction by another fraction is same as multiplying by its reciprocal.

a
b
÷
x
y
=
a
b
×
y
x

For example: Let's divide the given fractions.

2
3
÷
5
7

 

2
3
 ÷ 
5
7
 = 
2
3
 × 
7
5

Multiply the numerators with each other and the denominators with each other.

2
3
 × 
7
5
 = 
2 × 7
3 × 5
 = 
14
15
             
So,
2
3
 ÷ 
5
7
 = 
14
15