How to reduce (simplify) to the lowest terms ordinary math fraction 30/48?

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 = 24 × 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

3. Rewrite the end result:

5 ÷ 8 = 0.625 as a decimal number.

Final answer
:: written in two ways ::
As a proper fraction
(numerator smaller than denominator):
30/48 = 5/8
As a decimal number:
30/48 = 0.625
Reduce to the lowest terms (simplify) the reciprocal fraction, interchange numerator & denominator, turn fraction upside down: 48/30

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