How to reduce (simplify) to lowest terms ordinary (common) math fraction 39/155?

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

Calculate the greatest (highest) common factor (divisor), gcf, hcf, gcd.

Integer numbers prime factorization:


39 = 3 × 13;


155 = 5 × 31;


Multiply all the common prime factors, by the lowest exponents.
But the two numbers have no common prime factors.


gcf, hcf, gcd (39; 155) = 1;


coprime numbers (relatively prime);

Calculate the greatest (highest) common factor (divisor), gcf, hcf, gcd

Fraction's numerator and denominator are coprime numbers (no common prime factors). Fraction cannot be reduced (simplified) - irreducible.

Rewrite the fraction:

As a decimal number:

39/155 =
39 ÷ 155 =
0.251612903226
0.25

As a percentage:

0.251612903226 =
0.251612903226 × 100/100 =
25.161290322581/100 =
25.161290322581% ≈
25.16%

Final answer:
:: written in three ways ::

As a proper fraction
(numerator smaller than denominator):
39/155 = 39/155

As a decimal number:
39/1550.25

As a percentage:
39/15525.16%

How to reduce (simplify) fraction 39/4,423 = ? ... 155/39 = ?

Online calculator: reduce (simplify) fractions

Latest reduced (simplified) fractions

39/155 already reduced (simplified) to lowest terms Feb 23 19:38 UTC (GMT)
21/70 = (21 ÷ 7)/(70 ÷ 7) = 3/10 Feb 23 19:38 UTC (GMT)
1,583/1,000 already reduced (simplified) to lowest terms
1,583 > 1,000 => improper fraction

Rewrite:
1,583 ÷ 1,000 = 1 and remainder = 583 =>
1,583/1,000 = (1 × 1,000 + 583)/1,000 = 1 + 583/1,000 =
= 1 583/1,000, mixed number (mixed fraction)
Feb 23 19:38 UTC (GMT)
20/50 = (20 ÷ 10)/(50 ÷ 10) = 2/5 Feb 23 19:38 UTC (GMT)
615/3 = (615 ÷ 3)/(3 ÷ 3) = 205 Feb 23 19:38 UTC (GMT)
34/7 already reduced (simplified) to lowest terms
34 > 7 => improper fraction

Rewrite:
34 ÷ 7 = 4 and remainder = 6 =>
34/7 = (4 × 7 + 6)/7 = 4 + 6/7 =
= 4 6/7, mixed number (mixed fraction)
Feb 23 19:38 UTC (GMT)
9/18 = (9 ÷ 9)/(18 ÷ 9) = 1/2 Feb 23 19:38 UTC (GMT)
20/5 = (20 ÷ 5)/(5 ÷ 5) = 4 Feb 23 19:38 UTC (GMT)
169/12 already reduced (simplified) to lowest terms
169 > 12 => improper fraction

Rewrite:
169 ÷ 12 = 14 and remainder = 1 =>
169/12 = (14 × 12 + 1)/12 = 14 + 1/12 =
= 14 1/12, mixed number (mixed fraction)
Feb 23 19:38 UTC (GMT)
45/403 already reduced (simplified) to lowest terms Feb 23 19:38 UTC (GMT)
34/51 = (34 ÷ 17)/(51 ÷ 17) = 2/3 Feb 23 19:38 UTC (GMT)
180/117 = (180 ÷ 9)/(117 ÷ 9) = 20/13;
20 > 13 => improper fraction

Rewrite:
20 ÷ 13 = 1 and remainder = 7 =>
20/13 = (1 × 13 + 7)/13 = 1 + 7/13 =
= 1 7/13, mixed number (mixed fraction)
Feb 23 19:38 UTC (GMT)
8,850,000/66,670,000 = (8,850,000 ÷ 590,000)/(66,670,000 ÷ 590,000) = 15/113 Feb 23 19:38 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