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To reduce a fraction, divide both its numerator and denominator by their greatest common factor, GCF.

Calculate the greatest (highest) common factor (divisor), gcf (gcd).

Integer numbers prime factorization:


76 = 22 × 19;


12,000 = 25 × 3 × 53;


Take all the common prime factors, by the lowest exponents.


gcf, gcd (76; 12,000) = 22 = 4;

Calculate the greatest (highest) common factor (divisor), gcf (gcd)

Divide both numerator and denominator by their greatest common factor.

76/12,000 =
(22 × 19)/ (25 × 3 × 53) =
((22 × 19) ÷ 2Cavs Jersey Cavs Sale Sale Jersey Cavs For For Jersey Cavs Jersey Sale For 2) / ((25 × 3 × 53) ÷ 22) =
Cavs Jersey Cavs Sale Sale Jersey Cavs For For Jersey Cavs Jersey Sale For 19/ (23 × 3 × 53) =
Cavs Jersey Cavs Sale Sale Jersey Cavs For For Jersey Cavs Jersey Sale For 19/3,000

Rewrite the end result:

As a decimal number:

19/ 3,000 =
19 ÷ 3,000 =
Cavs Jersey Cavs Sale Sale Jersey Cavs For For Jersey Cavs Jersey Sale For 0.006333333333
0.01

As a percentage:

0.006333333333 =
0.006333333333 × 100/ 100 =
0.633333333333/ 100 =
0.633333333333% ≈
0.63%

Final answer:
:: written in three ways ::

As a proper fraction
(numerator smaller than denominator):
76/12,000 = 19/3,000

As a decimal number:
76/12,0000.01

As a percentage:
76/12,0000.63%

How to reduce (simplify) fraction 76/6,722 = ? ... 12,000/76 = ?

Online calculator: reduce (simplify) fractions

Latest reduced (simplified) fractions

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217/30 already reduced (simplified) to lowest terms
217 > 30 => improper fraction

Rewrite:
217 ÷ 30 = 7 and remainder = 7 =>
Cavs Jersey Cavs Sale Sale Jersey Cavs For For Jersey Cavs Jersey Sale For 217/30 = (7 × 30 + 7)/30 = 7 + 7/30 =
= 7 7/30, mixed number (mixed fraction)
Aug 10 04:53 UTC (GMT)
5/7,857,261 already reduced (simplified) to lowest terms Cavs Jersey Cavs Sale Sale Jersey Cavs For For Jersey Cavs Jersey Sale For Aug 10 04:53 UTC (GMT)
207/Cavs Jersey Cavs Sale Sale Jersey Cavs For For Jersey Cavs Jersey Sale For 6 = (207 ÷ 3)/(6 ÷ 3) = 69/2;
69 > 2 => improper fraction

Rewrite:
69 ÷ 2 = 34 and remainder = 1 =>
69/2 = (34 × 2 + 1)/2 = 34 + 1/2 =
= 34 1/2, mixed number (mixed fraction)
Aug 10 04:53 UTC (GMT)
1,260/7,344 = (1,260 ÷ 36)/(7,344 ÷ 36) = 35/204 Cavs Jersey Cavs Sale Sale Jersey Cavs For For Jersey Cavs Jersey Sale For Aug 10 04:53 UTC (GMT)
Cavs Jersey Cavs Sale Sale Jersey Cavs For For Jersey Cavs Jersey Sale For 34Rays Will Faux-back Wear 2016 Uniform Again Draysbay - In/8 = (34 ÷ 2)/(8 ÷ 2) = 17/4;
17 > 4 => improper fraction
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Rewrite:
17 ÷ 4 = 4 and remainder = 1 =>
17/4 = (4 × 4 + 1)/4 = 4 + 1/4 =
= 4 1/4, mixed number (mixed fraction)
Cavs Jersey Cavs Sale Sale Jersey Cavs For For Jersey Cavs Jersey Sale For Aug 10 04:53 UTC (GMT)
393/2,352 = (393 ÷ 3)/(2,352 ÷ 3) = 131/784 Aug 10 04:53 UTC (GMT)
60/4,598 = (60 ÷ 2)/(4,598 ÷ 2) = 30/2,299 Aug 10 04:53 UTC (GMT)
7/32 already reduced (simplified) to lowest terms Aug 10 04:53 UTC (GMT)
4/10 = (4 ÷ 2)/(10 ÷ 2) = 2/5 Aug 10 04:53 UTC (GMT)
6,935/10 = (6,935 ÷ 5)/(10 ÷ 5) = 1,387/Cavs Jersey Cavs Sale Sale Jersey Cavs For For Jersey Cavs Jersey Sale For 2;
1,387 > 2 => improper fraction

Rewrite:
1,387 ÷ 2 = 693 and remainder = 1 =>
1,387/2 = (693 × 2 + 1)/2 = 693 + 1/2 =
= 693 1/2, mixed number (mixed fraction)
Aug 10 04:53 UTC (GMT)
448/576 = (448 ÷ 64)/(576 ÷ 64) = 7/9 Aug 10 04:53 UTC (GMT)
228/111 = Cavs Jersey Cavs Sale Sale Jersey Cavs For For Jersey Cavs Jersey Sale For (228 ÷ 3)/(111 ÷ 3) = 76/37;
76 > 37 => improper fraction
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Rewrite:
76 ÷ 37 = 2 and remainder = 2 =>
76/37 = (2 × 37 + 2)/37 = 2 + 2/37 =
= 2 2/37, mixed number (mixed fraction)
Aug 10 04:53 UTC (GMT)
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Why reducing (simplifying) fractions to lower terms?


What is a prime number?

What is a composite number?

Prime numbers up to 1,000

Prime numbers up to 10,000

Sieve of Eratosthenes

Euclid's algorithm

Simplifying ordinary math fractions (reducing to lower terms): steps to follow and examples

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