Arithmetic Course/Types of Number/Fraction Number

Fraction Number

Number has the general form of a Numerator over a Denominator

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

Equal Fraction

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

Common Denominator

${\frac {A}{B}}({\frac {D}{D}})={\frac {C}{D}}({\frac {B}{B}})$

${\frac {AD}{BD}}={\frac {BC}{BD}}$

Mathematic operation

Addition

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

Subtraction

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

Multiplication

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

Division

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

Rational Number

Fraction can be expressed as Rational Number

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

Irrational Number

Fraction can be expressed as Irrational Number

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

Irratioal Constants

$\pi =3.1415...$

$e=2.72...$