How to reduce (simplify) the common fraction 5/13 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:

5 is a prime number, it cannot be factored into other prime factors


13 is a prime number, it cannot be factored into other prime factors

Calculate the prime factors of numbers, online calculator


Calculate the greatest common factor, GCF:

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


But, the numerator and the denominator have no common factors.


gcf (5; 13) = 1

Calculate the greatest common factor, GCF, online calculator


The numerator and the denominator of the fraction are coprime numbers (no common prime factors, GCF = 1), the fraction cannot be reduced (simplified): irreducible fraction.

Rewrite the fraction:

As a decimal number:

5/13 =


5 ÷ 13 =


0.384615384615 ≈


0.38

As a percentage:

0.384615384615 =


0.384615384615 × 100/100 =


38.461538461539/100 =


38.461538461539% ≈


38.46%

Convert fractions to percentages, online calculator


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

As a positive proper fraction
(numerator < denominator):
5/13 = 5/13

As a decimal number:
5/130.38

As a percentage:
5/1338.46%

How to reduce (simplify) the common fraction: 11/16?


Writing numbers: point '.' used as a decimal mark;

Symbols: / fraction bar; ÷ divide; × multiply; ≈ approximation; = equal;

Reduce (simplify) ordinary fractions, online calculator

The latest fractions reduced to the lowest terms

5/13 already reduced (simplified) Jun 03 21:53 UTC (GMT)
- 44/ - 36 = (44 ÷ 4)/(36 ÷ 4) = 11/9
Improper fraction, rewrite it as a mixed number:
11 ÷ 9 = 1 and remainder = 2 =>
11/9 = (1 × 9 + 2)/9 = 1 + 2/9 = 1 2/9
Jun 03 21:53 UTC (GMT)
36/8 = (36 ÷ 4)/(8 ÷ 4) = 9/2
Improper fraction, rewrite it as a mixed number:
9 ÷ 2 = 4 and remainder = 1 =>
9/2 = (4 × 2 + 1)/2 = 4 + 1/2 = 4 1/2
Jun 03 21:52 UTC (GMT)
3,975/35 = (3,975 ÷ 5)/(35 ÷ 5) = 795/7
Improper fraction, rewrite it as a mixed number:
795 ÷ 7 = 113 and remainder = 4 =>
795/7 = (113 × 7 + 4)/7 = 113 + 4/7 = 113 4/7
Jun 03 21:52 UTC (GMT)
2,828/10 = (2,828 ÷ 2)/(10 ÷ 2) = 1,414/5
Improper fraction, rewrite it as a mixed number:
1,414 ÷ 5 = 282 and remainder = 4 =>
1,414/5 = (282 × 5 + 4)/5 = 282 + 4/5 = 282 4/5
Jun 03 21:52 UTC (GMT)
93/76 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
93 ÷ 76 = 1 and remainder = 17 =>
93/76 = (1 × 76 + 17)/76 = 1 + 17/76 = 1 17/76
Jun 03 21:52 UTC (GMT)
17/34 = (17 ÷ 17)/(34 ÷ 17) = 1/2 Jun 03 21:52 UTC (GMT)
65/12 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
65 ÷ 12 = 5 and remainder = 5 =>
65/12 = (5 × 12 + 5)/12 = 5 + 5/12 = 5 5/12
Jun 03 21:52 UTC (GMT)
113/15 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
113 ÷ 15 = 7 and remainder = 8 =>
113/15 = (7 × 15 + 8)/15 = 7 + 8/15 = 7 8/15
Jun 03 21:52 UTC (GMT)
50/3 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
50 ÷ 3 = 16 and remainder = 2 =>
50/3 = (16 × 3 + 2)/3 = 16 + 2/3 = 16 2/3
Jun 03 21:52 UTC (GMT)
33/5 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
33 ÷ 5 = 6 and remainder = 3 =>
33/5 = (6 × 5 + 3)/5 = 6 + 3/5 = 6 3/5
Jun 03 21:52 UTC (GMT)
540/960 = (540 ÷ 60)/(960 ÷ 60) = 9/16 Jun 03 21:51 UTC (GMT)
4,567/12 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
4,567 ÷ 12 = 380 and remainder = 7 =>
4,567/12 = (380 × 12 + 7)/12 = 380 + 7/12 = 380 7/12
Jun 03 21:51 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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