# Calculator: ordinary math fractions reducing to lowest terms (simplifying) explained, result as a proper improper (mixed number) fraction, decimal

## Latest reduced (simplified) fractions

 720/45 = (720 ÷ 45)/(45 ÷ 45) = 16 Mar 21 10:15 UTC (GMT) 13,590,720/26 = (13,590,720 ÷ 26)/(26 ÷ 26) = 522,720 Mar 21 10:15 UTC (GMT) 24/113 already reduced (simplified) to lowest terms Mar 21 10:14 UTC (GMT) 8/100 = (8 ÷ 4)/(100 ÷ 4) = 2/25 Mar 21 10:14 UTC (GMT) 46/125 already reduced (simplified) to lowest terms Mar 21 10:14 UTC (GMT) 3/24 = (3 ÷ 3)/(24 ÷ 3) = 1/8 Mar 21 10:14 UTC (GMT) 1,041/1,014 = (1,041 ÷ 3)/(1,014 ÷ 3) = 347/338; 347 > 338 => improper fraction Rewrite: 347 ÷ 338 = 1 and remainder = 9 => 347/338 = (1 × 338 + 9)/338 = 1 + 9/338 = = 1 9/338, mixed number (mixed fraction) Mar 21 10:14 UTC (GMT) 2,205/1,750 = (2,205 ÷ 35)/(1,750 ÷ 35) = 63/50; 63 > 50 => improper fraction Rewrite: 63 ÷ 50 = 1 and remainder = 13 => 63/50 = (1 × 50 + 13)/50 = 1 + 13/50 = = 1 13/50, mixed number (mixed fraction) Mar 21 10:14 UTC (GMT) 24/92 = (24 ÷ 4)/(92 ÷ 4) = 6/23 Mar 21 10:14 UTC (GMT) 143/288 already reduced (simplified) to lowest terms Mar 21 10:14 UTC (GMT) 24/200 = (24 ÷ 8)/(200 ÷ 8) = 3/25 Mar 21 10:14 UTC (GMT) 171/19 = (171 ÷ 19)/(19 ÷ 19) = 9 Mar 21 10:14 UTC (GMT) 275/405 = (275 ÷ 5)/(405 ÷ 5) = 55/81 Mar 21 10:14 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.