# How to reduce (simplify) to lowest terms ordinary (common) math fraction 2,338/3,333? Result written as: a proper fraction, a decimal number and a percentage

## Latest fractions reduced (simplified) to the lowest terms

 2,338/3,333 already reduced (simplified) to lowest terms Dec 02 21:57 UTC (GMT) 3,600/2,415 = (3,600 ÷ 15)/(2,415 ÷ 15) = 240/161; 240 > 161 => improper fraction Rewrite: 240 ÷ 161 = 1 and remainder = 79 => 240/161 = (1 × 161 + 79)/161 = 1 + 79/161 = = 1 79/161, mixed number (mixed fraction) Dec 02 21:57 UTC (GMT) 1,260/3,969 = (1,260 ÷ 63)/(3,969 ÷ 63) = 20/63 Dec 02 21:57 UTC (GMT) 49/2 already reduced (simplified) to lowest terms 49 > 2 => improper fraction Rewrite: 49 ÷ 2 = 24 and remainder = 1 => 49/2 = (24 × 2 + 1)/2 = 24 + 1/2 = = 24 1/2, mixed number (mixed fraction) Dec 02 21:57 UTC (GMT) 1,260/3,969 = (1,260 ÷ 63)/(3,969 ÷ 63) = 20/63 Dec 02 21:57 UTC (GMT) 5,097/10 already reduced (simplified) to lowest terms 5,097 > 10 => improper fraction Rewrite: 5,097 ÷ 10 = 509 and remainder = 7 => 5,097/10 = (509 × 10 + 7)/10 = 509 + 7/10 = = 509 7/10, mixed number (mixed fraction) Dec 02 21:57 UTC (GMT) 3,081/100 already reduced (simplified) to lowest terms 3,081 > 100 => improper fraction Rewrite: 3,081 ÷ 100 = 30 and remainder = 81 => 3,081/100 = (30 × 100 + 81)/100 = 30 + 81/100 = = 30 81/100, mixed number (mixed fraction) Dec 02 21:57 UTC (GMT) 5/15 = (5 ÷ 5)/(15 ÷ 5) = 1/3 Dec 02 21:57 UTC (GMT) 3/2 already reduced (simplified) to lowest terms 3 > 2 => improper fraction Rewrite: 3 ÷ 2 = 1 and remainder = 1 => 3/2 = (1 × 2 + 1)/2 = 1 + 1/2 = = 1 1/2, mixed number (mixed fraction) Dec 02 21:57 UTC (GMT) 1/65 already reduced (simplified) to lowest terms Dec 02 21:57 UTC (GMT) 5/15 = (5 ÷ 5)/(15 ÷ 5) = 1/3 Dec 02 21:57 UTC (GMT) 1,684/2,400 = (1,684 ÷ 4)/(2,400 ÷ 4) = 421/600 Dec 02 21:57 UTC (GMT) 144/3,782 = (144 ÷ 2)/(3,782 ÷ 2) = 72/1,891 Dec 02 21:57 UTC (GMT) reduced fractions, see more...

## Tutoring: simplifying ordinary math fractions (reducing to the lowest terms)

### Steps to simplify an ordinary fraction, to reduce it to its lowest terms:

• 1) Factor both the numerator and the denominator of the fraction into prime factors.
• 2) Calculate the greatest common factor, GCF (or the greatest common divisor, GCD) of the fraction's numerator and denominator.
• 3) Divide both the numerator and the denominator of the fraction by the greatest common factor, GCF (GCD).
• In conclusion: the fraction thus obtained is called a reduced fraction or a fraction simplified to its lowest terms.
• A fraction reduced to its lowest terms cannot be further reduced and it is called an irreducible fraction.

### Why reducing (simplifying) fractions to lower terms?

• When running operations with fractions we are often required to bring them to the same denominator, for example when adding, subtracting or comparing.
• Sometimes both the numerators and the denominators of those fractions are large numbers and doing calculations with such numbers could be difficult.
• By simplifying (reducing) a fraction, both the numerator and denominator of a fraction are reduced to smaller values. Well, these values are much easier to work with, reducing the overall effort of working with fractions.