Questions on fractions, i.e. expressions (not values) of the form $\frac ab$, including arithmetic with fractions. Not to be confused with the tag (rational-numbers): fractions denote rational numbers, but the same rational number may be written in different ways as a fraction.

A *fraction* is simply an expression $\frac{a}{b}$, where $a$ and $b$ are typically integers. This tag may be used, when $a$ and $b$ are more general expressions or algebraic objects; however, consider adding a more specific tag also:

rational-functions for fractions of two polynomials

algebra-precalculus for basic questions about a function or expression which is written as a fraction

continued-fractions for continued (infinitely nested) fractions

abstract-algebra for a fraction taken in some group, ring, or field

localization, ring-theory, integral-domain, and/or commutative-algebra for the field of fractions of a ring.

Fractions are distinct from rational numbers because they are a *representation*: $\frac 34$ and $\frac{30}{40}$ are different fractions that happen to represent the same rational number.

For arithmetic with fractions, this tag is appropriate along with arithmetic.