Arithmetic Course/Types of Number/Fraction Number

Fraction Number

Number has the general form of a Numerator over a Denominator

${\displaystyle {\frac {A}{B}}}$

Equal Fraction

${\displaystyle {\frac {A}{B}}={\frac {C}{D}}}$ when A = C and B = D

Common Denominator

${\displaystyle {\frac {A}{B}}({\frac {D}{D}})={\frac {C}{D}}({\frac {B}{B}})}$
${\displaystyle {\frac {AD}{BD}}={\frac {BC}{BD}}}$

Mathematic operation

${\displaystyle {\frac {A}{B}}+{\frac {C}{D}}={\frac {AD+BC}{BD}}}$

Subtraction

${\displaystyle {\frac {A}{B}}-{\frac {C}{D}}={\frac {AD-BC}{BD}}}$

Multiplication

${\displaystyle {\frac {A}{B}}\times {\frac {C}{D}}={\frac {AC}{BD}}}$

Division

${\displaystyle {\frac {A}{B}}/{\frac {C}{D}}={\frac {AD}{BC}}}$

Rational Number

Fraction can be expressed as Rational Number

${\displaystyle {\frac {1}{4}}=0.25}$

Irrational Number

Fraction can be expressed as Irrational Number

${\displaystyle {\frac {1}{3}}=0.333333....}$

Irratioal Constants

${\displaystyle \pi =3.1415...}$
${\displaystyle e=2.72...}$