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 Dec 14 02:22 UTC (GMT)
147/8 already reduced (simplified) to lowest terms
147 > 8 => improper fraction

Rewrite:
147 ÷ 8 = 18 and remainder = 3 =>
147/8 = (18 × 8 + 3)/8 = 18 + 3/8 =
= 18 3/8, mixed number (mixed fraction)
Dec 14 02:22 UTC (GMT)
10/5 = (10 ÷ 5)/(5 ÷ 5) = 2 Dec 14 02:22 UTC (GMT)
82/99 already reduced (simplified) to lowest terms Dec 14 02:22 UTC (GMT)
534/10 = (534 ÷ 2)/(10 ÷ 2) = 267/5;
267 > 5 => improper fraction

Rewrite:
267 ÷ 5 = 53 and remainder = 2 =>
267/5 = (53 × 5 + 2)/5 = 53 + 2/5 =
= 53 2/5, mixed number (mixed fraction)
Dec 14 02:22 UTC (GMT)
21/28 = (21 ÷ 7)/(28 ÷ 7) = 3/4 Dec 14 02:22 UTC (GMT)
36/42 = (36 ÷ 6)/(42 ÷ 6) = 6/7 Dec 14 02:22 UTC (GMT)
35,200/1,905,868,800 = (35,200 ÷ 35,200)/(1,905,868,800 ÷ 35,200) = 1/54,144 Dec 14 02:22 UTC (GMT)
59/12,109,101 = (59 ÷ 59)/(12,109,101 ÷ 59) = 1/205,239 Dec 14 02:22 UTC (GMT)
46,784/345 already reduced (simplified) to lowest terms
46,784 > 345 => improper fraction

Rewrite:
46,784 ÷ 345 = 135 and remainder = 209 =>
46,784/345 = (135 × 345 + 209)/345 = 135 + 209/345 =
= 135 209/345, mixed number (mixed fraction)
Dec 14 02:22 UTC (GMT)
51/68 = (51 ÷ 17)/(68 ÷ 17) = 3/4 Dec 14 02:22 UTC (GMT)
48/72 = (48 ÷ 24)/(72 ÷ 24) = 2/3 Dec 14 02:22 UTC (GMT)
46,784/345 already reduced (simplified) to lowest terms
46,784 > 345 => improper fraction

Rewrite:
46,784 ÷ 345 = 135 and remainder = 209 =>
46,784/345 = (135 × 345 + 209)/345 = 135 + 209/345 =
= 135 209/345, mixed number (mixed fraction)
Dec 14 02:22 UTC (GMT)
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