How to reduce (simplify) the common fraction - 6/15 to its simplest equivalent form, irreducible? Result written as a proper fraction, as a decimal number and as a percentage %

To reduce a fraction divide the numerator and the denominator by their greatest common factor, GCF

Factor both the numerator and the denominator, break them down to prime factors:

6 = 2 × 3


15 = 3 × 5

Calculate the prime factors of numbers, online calculator


Calculate the greatest common factor, GCF:

Multiply all the common prime factors, by the lowest exponents.


gcf (2 × 3; 3 × 5) = 3

Calculate the greatest common factor, GCF, online calculator


Divide both the numerator and the denominator by their greatest common factor, GCF:

- 6/15 =


- 6/15 =


- (2 × 3)/(3 × 5) =


- ((2 × 3) ÷ 3) / ((3 × 5) ÷ 3) =


- 2/5

Rewrite the end result:

As a decimal number:

- 2/5 =


- 2 ÷ 5 =


- 0.4

As a percentage:

- 0.4 =


- 0.4 × 100/100 =


- 40/100 =


- 40%

Convert fractions to percentages, online calculator


The final answer:
:: written in three ways ::

As a negative proper fraction
(|numerator| < |denominator|):
- 6/15 = - 2/5

As a decimal number:
- 6/15 = - 0.4

As a percentage:
- 6/15 = - 40%

How to reduce (simplify) the common fraction: - 2/22?


Writing numbers: point '.' used as a decimal mark; two vertical bars surrounding a number, |n|, is the symbol for the absolute value of that number;

Symbols: / fraction bar; ÷ divide; × multiply; - minus; = equal;

Reduce (simplify) ordinary fractions, online calculator

The latest fractions reduced to the lowest terms

- 6/15 = - (6 ÷ 3)/(15 ÷ 3) = - 2/5 Jul 06 22:35 UTC (GMT)
316/41 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
316 ÷ 41 = 7 and remainder = 29 =>
316/41 = (7 × 41 + 29)/41 = 7 + 29/41 = 7 29/41
Jul 06 22:35 UTC (GMT)
- 134,917/1 already reduced (simplified) = - 134,917 Jul 06 22:35 UTC (GMT)
57/24 = (57 ÷ 3)/(24 ÷ 3) = 19/8
Improper fraction, rewrite it as a mixed number:
19 ÷ 8 = 2 and remainder = 3 =>
19/8 = (2 × 8 + 3)/8 = 2 + 3/8 = 2 3/8
Jul 06 22:35 UTC (GMT)
263/328 already reduced (simplified) Jul 06 22:35 UTC (GMT)
155/4 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
155 ÷ 4 = 38 and remainder = 3 =>
155/4 = (38 × 4 + 3)/4 = 38 + 3/4 = 38 3/4
Jul 06 22:35 UTC (GMT)
75/86 already reduced (simplified) Jul 06 22:35 UTC (GMT)
3,859/12 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
3,859 ÷ 12 = 321 and remainder = 7 =>
3,859/12 = (321 × 12 + 7)/12 = 321 + 7/12 = 321 7/12
Jul 06 22:35 UTC (GMT)
455/24 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
455 ÷ 24 = 18 and remainder = 23 =>
455/24 = (18 × 24 + 23)/24 = 18 + 23/24 = 18 23/24
Jul 06 22:35 UTC (GMT)
40,519/455,641 already reduced (simplified) Jul 06 22:35 UTC (GMT)
21/4,490 already reduced (simplified) Jul 06 22:35 UTC (GMT)
103/60 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
103 ÷ 60 = 1 and remainder = 43 =>
103/60 = (1 × 60 + 43)/60 = 1 + 43/60 = 1 43/60
Jul 06 22:35 UTC (GMT)
256/25 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
256 ÷ 25 = 10 and remainder = 6 =>
256/25 = (10 × 25 + 6)/25 = 10 + 6/25 = 10 6/25
Jul 06 22:35 UTC (GMT)
see more... reduced fractions

Fractions reducing to lower terms (simplifying). Equivalent fractions

Let's learn by an example, let's simplify the fraction: 12/16

  • Numerator of the fraction. The number that is above the fraction bar, 12, is called the numerator of the fraction;
  • Denominator of the fraction. The number that is below the fraction bar, 16, is called the denominator of the fraction;
  • The value of the fraction. Fraction 12/16 shows us in how many equal parts the number above the fraction bar, 12, is being divided: into 16 equal parts. Thus, the value of the fraction is calculated as:
  • 12 ÷ 16 = 0.75
  • We notice that the two numbers, the numerator and the denominator, are dividing themselves without any remainder by 2, so we divide them by the same number, 2:
  • 12/16 = (12 ÷ 2)/(16 ÷ 2) = 6/8
  • The value of the fraction 6/8 is calculated as:
  • 6 ÷ 8 = 0.75
  • We notice that the value of the fraction 6/8 is equal to that of the fraction 12/16, namely 0.75
  • Reduced (simplified) fraction, Equivalent fraction. The new fraction, 6/8, is equivalent to the original one, 12/16, that is, it represents the same value or proportion of the whole, and it was calculated out of the original fraction by reducing it (simplifying it): both the numerator and the denominator of the fraction were divided by the number 2.
  • Common factor (divisor). The number 2 that was used to divide the two numbers that make up the fraction is called a common factor or a divisor of the numerator and the denominator of the fraction.
  • Find all the divisors of a number or all the common factors of two numbers, online.
  • The reduced fraction has now a numerator that is equal to 6 and a denominator that is equal to 8.
  • We also notice that the two new numbers, the new numerator and the new denominator, 6 and 8, are also dividing themselves without any remainder by 2 (2 is a common factor of 6 and 8), so we divide them again by 2:
  • 6/8 = (6 ÷ 2)/(8 ÷ 2) = 3/4
  • The value of the fraction 3/4 is calculated as:
  • 3 ÷ 4 = 0.75
  • The new fraction, 3/4, is a reduced fraction (a simplified fraction) and an equivalent of the fractions 12/16 and 6/8
  • Irreducible fraction. Fraction 3/4 is also called an irreducible fraction, in another words it could no longer be reduced or simplified, it is in its simplest form, the numbers 3 and 4, the numerator and the denominator of the fraction, are coprime numbers (prime to each other), not having any common factors other than 1.
  • Reduce fractions to lower terms (simplify), online, with explanations.

... Read the rest of this article, here: How to reduce (simplify) common fractions?

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