# 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

 2/2,496 = (2 ÷ 2)/(2,496 ÷ 2) = 1/1,248 Jul 06 17:03 UTC (GMT) 6,109/66 already reduced (simplified) to lowest terms 6,109 > 66 => improper fraction Rewrite: 6,109 ÷ 66 = 92 and remainder = 37 => 6,109/66 = (92 × 66 + 37)/66 = 92 + 37/66 = = 92 37/66, mixed number (mixed fraction) Jul 06 17:03 UTC (GMT) 5/85 = (5 ÷ 5)/(85 ÷ 5) = 1/17 Jul 06 17:03 UTC (GMT) 45/3,365 = (45 ÷ 5)/(3,365 ÷ 5) = 9/673 Jul 06 17:03 UTC (GMT) 174/537 = (174 ÷ 3)/(537 ÷ 3) = 58/179 Jul 06 17:03 UTC (GMT) 455/715 = (455 ÷ 65)/(715 ÷ 65) = 7/11 Jul 06 17:03 UTC (GMT) 3,338/128 = (3,338 ÷ 2)/(128 ÷ 2) = 1,669/64; 1,669 > 64 => improper fraction Rewrite: 1,669 ÷ 64 = 26 and remainder = 5 => 1,669/64 = (26 × 64 + 5)/64 = 26 + 5/64 = = 26 5/64, mixed number (mixed fraction) Jul 06 17:03 UTC (GMT) 910/90 = (910 ÷ 10)/(90 ÷ 10) = 91/9; 91 > 9 => improper fraction Rewrite: 91 ÷ 9 = 10 and remainder = 1 => 91/9 = (10 × 9 + 1)/9 = 10 + 1/9 = = 10 1/9, mixed number (mixed fraction) Jul 06 17:03 UTC (GMT) 6,091/264 already reduced (simplified) to lowest terms 6,091 > 264 => improper fraction Rewrite: 6,091 ÷ 264 = 23 and remainder = 19 => 6,091/264 = (23 × 264 + 19)/264 = 23 + 19/264 = = 23 19/264, mixed number (mixed fraction) Jul 06 17:03 UTC (GMT) 731/178 already reduced (simplified) to lowest terms 731 > 178 => improper fraction Rewrite: 731 ÷ 178 = 4 and remainder = 19 => 731/178 = (4 × 178 + 19)/178 = 4 + 19/178 = = 4 19/178, mixed number (mixed fraction) Jul 06 17:03 UTC (GMT) 4,875/1,000 = (4,875 ÷ 125)/(1,000 ÷ 125) = 39/8; 39 > 8 => improper fraction Rewrite: 39 ÷ 8 = 4 and remainder = 7 => 39/8 = (4 × 8 + 7)/8 = 4 + 7/8 = = 4 7/8, mixed number (mixed fraction) Jul 06 17:03 UTC (GMT) 580/50 = (580 ÷ 10)/(50 ÷ 10) = 58/5; 58 > 5 => improper fraction Rewrite: 58 ÷ 5 = 11 and remainder = 3 => 58/5 = (11 × 5 + 3)/5 = 11 + 3/5 = = 11 3/5, mixed number (mixed fraction) Jul 06 17:03 UTC (GMT) 12/187 already reduced (simplified) to lowest terms Jul 06 17:03 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.