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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) 1¾ = (1/2) (7/4) = 1 2 ÷ 7 4 = 1 2 × 4 7 = 2 7 .

GMAT Math Review - Arithmetic : Index for Fractions

10 more pages in GMAT Math Review

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