How to reduce (simplify) to 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.

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;

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

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

Online calculator: reduce (simplify) fractions

Latest reduced (simplified) fractions

30/48 = (30 ÷ 6)/(48 ÷ 6) = 5/8 Feb 18 10:53 UTC (GMT)
24,354/2,140 = (24,354 ÷ 2)/(2,140 ÷ 2) = 12,177/1,070;
12,177 > 1,070 => improper fraction

Rewrite:
12,177 ÷ 1,070 = 11 and remainder = 407 =>
12,177/1,070 = (11 × 1,070 + 407)/1,070 = 11 + 407/1,070 =
= 11 407/1,070, mixed number (mixed fraction)
Feb 18 10:53 UTC (GMT)
304/2,565 = (304 ÷ 19)/(2,565 ÷ 19) = 16/135 Feb 18 10:53 UTC (GMT)
312/325 = (312 ÷ 13)/(325 ÷ 13) = 24/25 Feb 18 10:53 UTC (GMT)
162/35 already reduced (simplified) to lowest terms
162 > 35 => improper fraction

Rewrite:
162 ÷ 35 = 4 and remainder = 22 =>
162/35 = (4 × 35 + 22)/35 = 4 + 22/35 =
= 4 22/35, mixed number (mixed fraction)
Feb 18 10:53 UTC (GMT)
34/51 = (34 ÷ 17)/(51 ÷ 17) = 2/3 Feb 18 10:53 UTC (GMT)
312/325 = (312 ÷ 13)/(325 ÷ 13) = 24/25 Feb 18 10:53 UTC (GMT)
376/124 = (376 ÷ 4)/(124 ÷ 4) = 94/31;
94 > 31 => improper fraction

Rewrite:
94 ÷ 31 = 3 and remainder = 1 =>
94/31 = (3 × 31 + 1)/31 = 3 + 1/31 =
= 3 1/31, mixed number (mixed fraction)
Feb 18 10:53 UTC (GMT)
12,776/3 already reduced (simplified) to lowest terms
12,776 > 3 => improper fraction

Rewrite:
12,776 ÷ 3 = 4,258 and remainder = 2 =>
12,776/3 = (4,258 × 3 + 2)/3 = 4,258 + 2/3 =
= 4,258 2/3, mixed number (mixed fraction)
Feb 18 10:53 UTC (GMT)
11/23 already reduced (simplified) to lowest terms Feb 18 10:53 UTC (GMT)
19/352 already reduced (simplified) to lowest terms Feb 18 10:53 UTC (GMT)
45/4 already reduced (simplified) to lowest terms
45 > 4 => improper fraction

Rewrite:
45 ÷ 4 = 11 and remainder = 1 =>
45/4 = (11 × 4 + 1)/4 = 11 + 1/4 =
= 11 1/4, mixed number (mixed fraction)
Feb 18 10:53 UTC (GMT)
20/25 = (20 ÷ 5)/(25 ÷ 5) = 4/5 Feb 18 10:53 UTC (GMT)
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