| 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
GMAT Math Review - Arithmetic : Practice Exercise for Fractions
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