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

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 = 24 × 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

Step 3: Rewrite the end result:

5 ÷ 8 = 0.625 as a decimal number.

Final answer
:: written in two ways ::
As a proper fraction:
30/48 = 5/8
As a decimal number:
30/48 = 0.625

Online calculator: reduce (simplify) fractions

see more: Coprime numbers (relatively prime)


Latest reduced (simplified) fractions

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Rewrite:
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200,011 > 15 => improper fraction

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