# Calculator: ordinary math fractions reducing to lowest terms (simplifying) explained. Final result written as a proper fraction or as an improper one and a mixed number, as an integer or a decimal, as a percentage

## Latest reduced (simplified) fractions

 24/56 = (24 ÷ 8)/(56 ÷ 8) = 3/7 Sep 28 04:58 UTC (GMT) 24/56 = (24 ÷ 8)/(56 ÷ 8) = 3/7 Sep 28 04:58 UTC (GMT) 24/56 = (24 ÷ 8)/(56 ÷ 8) = 3/7 Sep 28 04:57 UTC (GMT) 13/80 already reduced (simplified) to lowest terms Sep 28 04:57 UTC (GMT) 542/4 = (542 ÷ 2)/(4 ÷ 2) = 271/2; 271 > 2 => improper fraction Rewrite: 271 ÷ 2 = 135 and remainder = 1 => 271/2 = (135 × 2 + 1)/2 = 135 + 1/2 = = 135 1/2, mixed number (mixed fraction) Sep 28 04:57 UTC (GMT) 15,390/15 = (15,390 ÷ 15)/(15 ÷ 15) = 1,026 Sep 28 04:57 UTC (GMT) 110/220 = (110 ÷ 110)/(220 ÷ 110) = 1/2 Sep 28 04:57 UTC (GMT) 575/100 = (575 ÷ 25)/(100 ÷ 25) = 23/4; 23 > 4 => improper fraction Rewrite: 23 ÷ 4 = 5 and remainder = 3 => 23/4 = (5 × 4 + 3)/4 = 5 + 3/4 = = 5 3/4, mixed number (mixed fraction) Sep 28 04:57 UTC (GMT) 931/30 already reduced (simplified) to lowest terms 931 > 30 => improper fraction Rewrite: 931 ÷ 30 = 31 and remainder = 1 => 931/30 = (31 × 30 + 1)/30 = 31 + 1/30 = = 31 1/30, mixed number (mixed fraction) Sep 28 04:57 UTC (GMT) 12/30 = (12 ÷ 6)/(30 ÷ 6) = 2/5 Sep 28 04:57 UTC (GMT) 9/27 = (9 ÷ 9)/(27 ÷ 9) = 1/3 Sep 28 04:57 UTC (GMT) 153/180 = (153 ÷ 9)/(180 ÷ 9) = 17/20 Sep 28 04:57 UTC (GMT) 453/123 = (453 ÷ 3)/(123 ÷ 3) = 151/41; 151 > 41 => improper fraction Rewrite: 151 ÷ 41 = 3 and remainder = 28 => 151/41 = (3 × 41 + 28)/41 = 3 + 28/41 = = 3 28/41, mixed number (mixed fraction) Sep 28 04:57 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.