Definition:Fraction/Compound

Definition

A compound fraction is a fraction such that the numerator or denominator or both are themselves fractions.

Examples

Arbitrary Example

An example of a compound fraction:

$\dfrac {\frac 3 4} {1 + \frac 2 3}$

Also known as

A compound fraction is also known as a complex fraction.

However, the latter is not endorsed by $\mathsf{Pr} \infty \mathsf{fWiki}$ as it could be construed to mean something involving complex numbers.

Also see

• Definition:Vulgar Fraction
• Definition:Proper Fraction
• Definition:Improper Fraction
• Definition:Mixed Fraction

• Results about compound fractions can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): complex fraction
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): fraction
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): complex fraction
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): fraction
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): compound fraction
• 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): compound fraction