This article was published in Scientific American’s former blog network and reflects the views of the author, not necessarily those of Scientific American The more I learn about continued fractions, ...

The proof resolves a nearly 80-year-old problem known as the Duffin-Schaeffer conjecture. In doing so, it provides a final answer to a question that has preoccupied mathematicians since ancient times: ...

Most people rarely deal with irrational numbers—it would be, well, irrational, as they run on forever, and representing them accurately requires an infinite amount of space. But irrational constants ...

Fractions and percentages are both different ways to represent a whole. Ratios compare two or more sizes or sets and show how they relate to each other. There are ways of converting ratios to ...