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

Online calculator: reduce (simplify) fractions

How to reduce (simplify) to lowest terms ordinary (common) math fraction:

To reduce a fraction, divide both its numerator and denominator by their greatest common factor, GCF.

Result written as a proper or an improper fraction, a mixed number, a decimal or an integer, 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)
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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.

Read the full article >> Simplifying ordinary (common) math fractions (reducing to lower terms): steps to follow and examples


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.

What is a prime number?

What is a composite number?

Prime numbers up to 1,000

Prime numbers up to 10,000

Sieve of Eratosthenes

Euclid's algorithm

Simplifying ordinary (common) math fractions (reducing to lower terms): steps to follow and examples