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

Fraction can be reduced (simplified) to an equivalent one:
30/48 = 5/8 = 0.625;
Result written as a proper fraction (ordinary, common): 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 (ordinary, common):
30/48 = 5/8
As a decimal number:
30/48 = 0.625

see more: Coprime numbers (relatively prime)


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