# Fraction can be reduced (simplified) to its irreducible equivalent (the simplest form, smallest possible numerator and denominator): ^{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.

### 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 (exponents).

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

gcf, gcd (30; 48) = 2 × 3 = 6;

### 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}