GRE Math : How to divide complex fractions
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Example Questions
Example Question #5 :有限公司mplex Fractions
A cistern containing
It is best to figure out what each of the leaks are per hour. We can figure this out by adding together the two fractional rates of leaking. For the first leak, we can do this as follows:
This is the same as:
For the second leak, we use the same sort of procedure:
Thus, our two leaks combined are:
The common denominator for these is
Now, our equation can be set up:
Multiply by
Solve for
Divide by
Example Question #6 :有限公司mplex Fractions
Which of the following answer choices is a value for
Begin by simplifying the left side of the equation. You can do this by multiplying the numerator of the fraction by the reciprocal of its denominator:
Now, we know that our equation is:
Multiply both sides by
Thus, by taking the square root of both sides, you get:
Among your answers,
Example Question #7 :有限公司mplex Fractions
Begin by converting both top and bottom into non-mixed fractions:
现在我们有:
In order to divide, take the fraction on the bottom, flip it, and multiply it by the fraction up top:
Multiply straight across:
Now reduce the fraction. Both top and bottom are divisible by 9 (an easy way to tell this is to see that in the original fractions we are multiplying both 9 and 18 are divisible by 9), so reduce each side by a factor of 9:
The answer is
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