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Arithmetic : Fractions

 

Preparation Just what you need to know !

 

Complex Fractions

 

If the numerator and denominator of a fraction are themselves fractions, then it is called a complex fraction.

An example of a complex fraction is (3/5)

(9/7)
.

 

To simplify a complex fraction, its numerator is divided by its denominator (or multiplied by the reciprocal of its denominator).
For example,

3

5
÷ 9

7
= 3

5
× 7

9
= 1

5
× 7

3
= 7

15
.

 

Example
It takes 1¾ hours to fill water into a large tank at a constant rate. What fraction of the tank is filled in a ½-hour?
Solution.

 

Fraction of tank filled = (1/2)


= (1/2)

(7/4)
= 1

2
÷ 7

4
= 1

2
× 4

7
= 2

7
.

 


 

GMAT Math Review - Arithmetic : Index for Fractions
 

GMAT Math Review - Arithmetic : Practice Exercise for Fractions

 

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10 more pages in GMAT Math Review

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