Category:Examples of Addition of Fractions

This category contains examples of use of Addition of Fractions.

Let $a, b, c, d \in \Z$ such that $b d \ne 0$.

Then:

$\dfrac a b + \dfrac c d = \dfrac {a D + B c} {\lcm \set {b, d} }$

where:

$B = \dfrac b {\gcd \set {b, d} }$

$D = \dfrac d {\gcd \set {b, d} }$

$\lcm$ denotes lowest common multiple

$\gcd$ denotes greatest common divisor.