A rational number expressed in the form (in-line notation) or (traditional "display" notation), where is called the numerator and
is called the denominator .
When written in-line, the slash "/" between numerator
and denominator is called a solidus .

A mathematical joke states that 4/3 of people don't understand fractions.

A proper fraction is a fraction such that , and a reduced
fraction is a fraction with common terms canceled out of the numerator
and denominator .

The Egyptians expressed their fractions as sums (and differences) of unit fractions . Conway and Guy (1996) give a table of Roman notation
for fractions, in which multiples of 1/12 (the uncia ) were
given separate names.

The rules for the algebraic combination of fractions are given by

Note however that the above results will not necessarily be reduced
fractions .

See also Adjacent Fraction ,

Anomalous Cancellation ,

Common Fraction ,

Complex
Fraction ,

Continued Fraction ,

Denominator ,

Egyptian Fraction ,

Farey
Sequence ,

Golden Rule ,

Half ,

Improper Fraction ,

Matrix
Fraction ,

Mediant ,

Mixed
Fraction ,

Numerator ,

Pandigital
Fraction ,

Proper Fraction ,

Pythagorean
Fraction ,

Quarter ,

Rational
Number ,

Reduced Fraction ,

Solidus ,

Unit Fraction Explore this topic in the MathWorld classroom
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References Conway, J. H. and Guy, R. K. The Book of Numbers. New York: Springer-Verlag, pp. 22-23, 1996. Courant,
R. and Robbins, H. "Decimal Fractions. Infinite Decimals." §2.2.2
in What
Is Mathematics?: An Elementary Approach to Ideas and Methods, 2nd ed. Oxford,
England: Oxford University Press, pp. 61-63, 1996. Referenced on Wolfram|Alpha Fraction
Cite this as:
Weisstein, Eric W. "Fraction." From MathWorld --A Wolfram Web Resource. https://mathworld.wolfram.com/Fraction.html

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