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 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.

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