Complex Fractions: Problem 3

Rule 24:

To manipulate complex fractions, just convert them to simple fractions and follow rules 1 through 23 for simple fractions.

Problem 3:

Convert to a simple fraction and reduce.

Answer:

Solution 1:

The numerator can be written which in turn can be written

The denominator can be written which in turn can be written

The fraction can now be written . Multiply by 1 in the form of the complex fraction .

Solution 2:

Multiply the numerator by 1 in the form , and multiply the denominator by 1 in the form .

Multiply by 1 in the form .

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