# 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 fractions reduced (simplified) to the lowest terms

 How to reduce (simplify) fraction: 355/50,530? Dec 06 20:58 UTC (GMT) How to reduce (simplify) fraction: 39/34,684? Dec 06 20:58 UTC (GMT) How to reduce (simplify) fraction: 13/13? Dec 06 20:58 UTC (GMT) How to reduce (simplify) fraction: 26/3? Dec 06 20:58 UTC (GMT) How to reduce (simplify) fraction: 64/5? Dec 06 20:58 UTC (GMT) How to reduce (simplify) fraction: 747/1,000? Dec 06 20:58 UTC (GMT) How to reduce (simplify) fraction: 100/648,336? Dec 06 20:58 UTC (GMT) How to reduce (simplify) fraction: 199,923/66,616,342,800? Dec 06 20:58 UTC (GMT) How to reduce (simplify) fraction: 32,489/19,497? Dec 06 20:57 UTC (GMT) How to reduce (simplify) fraction: 844,507/1,055,626? Dec 06 20:57 UTC (GMT) How to reduce (simplify) fraction: 11,036/13,788? Dec 06 20:57 UTC (GMT) How to reduce (simplify) fraction: 33,926/105? Dec 06 20:57 UTC (GMT) How to reduce (simplify) fraction: 43,841/30? Dec 06 20:57 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.