# Fraction can be reduced (simplified) to its irreducible equivalent:

^{30}/_{48} = ^{ 5}/_{8 } = 0.625;

:: Result written as ::

a proper fraction: ^{ 5}/_{8 }

and a decimal number: 0.625

Explanations below.

## To reduce a fraction, divide both its numerator and denominator by their greatest common factor, GCF.

### Step 1. Calculate the greatest (highest) common factor (divisor).

#### Integer numbers prime factorization:

30 = 2 * 3 * 5;

48 = 2^{4} * 3;

Take all the common prime factors, by the lowest powers.

Greatest (highest) common factor (divisor), gcf, gcd:

gcf, gcd (30; 48) = 2 * 3 = 6;

### Step 2: Divide fraction's both numerator and denominator by their greatest common factor (divisor), gcf (gcd).

^{30}/

_{48}=

^{(2 * 3 * 5)}/

_{(24 * 3)}=

^{((2 * 3 * 5) : (2 * 3))}/

_{((24 * 3) : (2 * 3))}=

^{5}/

_{23}=

^{5}/

_{8}