# How to reduce (simplify) to lowest terms ordinary (common) math fraction 328/100? Result written as: an improper fraction, a mixed number, a decimal number and a percentage

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

 328/100 = (328 ÷ 4)/(100 ÷ 4) = 82/25; 82 > 25 => improper fraction Rewrite: 82 ÷ 25 = 3 and remainder = 7 => 82/25 = (3 × 25 + 7)/25 = 3 + 7/25 = = 3 7/25, mixed number (mixed fraction) Dec 02 21:25 UTC (GMT) 4,843/3,435 already reduced (simplified) to lowest terms 4,843 > 3,435 => improper fraction Rewrite: 4,843 ÷ 3,435 = 1 and remainder = 1,408 => 4,843/3,435 = (1 × 3,435 + 1,408)/3,435 = 1 + 1,408/3,435 = = 1 1,408/3,435, mixed number (mixed fraction) Dec 02 21:25 UTC (GMT) 461/54 already reduced (simplified) to lowest terms 461 > 54 => improper fraction Rewrite: 461 ÷ 54 = 8 and remainder = 29 => 461/54 = (8 × 54 + 29)/54 = 8 + 29/54 = = 8 29/54, mixed number (mixed fraction) Dec 02 21:25 UTC (GMT) 150/6,201 = (150 ÷ 3)/(6,201 ÷ 3) = 50/2,067 Dec 02 21:25 UTC (GMT) 666,666,667/1,000,000,000 already reduced (simplified) to lowest terms Dec 02 21:25 UTC (GMT) 9/4 already reduced (simplified) to lowest terms 9 > 4 => improper fraction Rewrite: 9 ÷ 4 = 2 and remainder = 1 => 9/4 = (2 × 4 + 1)/4 = 2 + 1/4 = = 2 1/4, mixed number (mixed fraction) Dec 02 21:25 UTC (GMT) 114/55 already reduced (simplified) to lowest terms 114 > 55 => improper fraction Rewrite: 114 ÷ 55 = 2 and remainder = 4 => 114/55 = (2 × 55 + 4)/55 = 2 + 4/55 = = 2 4/55, mixed number (mixed fraction) Dec 02 21:25 UTC (GMT) 9/70,146 = (9 ÷ 9)/(70,146 ÷ 9) = 1/7,794 Dec 02 21:25 UTC (GMT) 3,113/50 already reduced (simplified) to lowest terms 3,113 > 50 => improper fraction Rewrite: 3,113 ÷ 50 = 62 and remainder = 13 => 3,113/50 = (62 × 50 + 13)/50 = 62 + 13/50 = = 62 13/50, mixed number (mixed fraction) Dec 02 21:25 UTC (GMT) 1,125/16 already reduced (simplified) to lowest terms 1,125 > 16 => improper fraction Rewrite: 1,125 ÷ 16 = 70 and remainder = 5 => 1,125/16 = (70 × 16 + 5)/16 = 70 + 5/16 = = 70 5/16, mixed number (mixed fraction) Dec 02 21:25 UTC (GMT) 21,756/32,412 = (21,756 ÷ 444)/(32,412 ÷ 444) = 49/73 Dec 02 21:25 UTC (GMT) 754/580 = (754 ÷ 58)/(580 ÷ 58) = 13/10; 13 > 10 => improper fraction Rewrite: 13 ÷ 10 = 1 and remainder = 3 => 13/10 = (1 × 10 + 3)/10 = 1 + 3/10 = = 1 3/10, mixed number (mixed fraction) Dec 02 21:25 UTC (GMT) 100/1,000,000 = (100 ÷ 100)/(1,000,000 ÷ 100) = 1/10,000 Dec 02 21:25 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.