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# Complex Fractions

A complex fraction is one which has fractional parts in the numerator or the denominator. For example, the following is a complex fraction:

$\frac{1}{1-\frac{1}{3}}.$

To work with complex fractions, we just need to begin with the most deeply nested fraction and simplify from there. Thus,

$\frac{1}{1 - \frac{1}{3}} = \frac{1}{1 - \frac{1}{3} } \times \frac{3}{3} = \frac{3}{ 3 - 1 } = \frac{3}{2}.$

Note by Arron Kau
2 years, 2 months ago