\cfrac{a}{1 + \cfrac{1}{b}}

The expression \cfrac{a}{1 + \cfrac{1}{b}} represents a complex fraction, also known as a compound fraction, where a fraction appears in the numerator or the denominator or both. In this case, it is a fraction where the denominator itself is a sum of 1 and another fraction. This type of expression is often used in algebra to simplify expressions or solve equations involving fractions.

Examples

A complex fraction where the denominator is a sum of 1 and 1/2.

\cfrac{3}{1 + \cfrac{1}{2}}

A complex fraction with variables in both the numerator and the denominator.

\cfrac{x}{1 + \cfrac{1}{y}}

A complex fraction where the denominator is a sum of 1 and 1/3.

\cfrac{5}{1 + \cfrac{1}{3}}