How to reduce (simplify) the common fraction 5/8 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:

in the notation with exponents:


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


8 = 23

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; 23) = 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:

5/8 =


5 ÷ 8 =


0.625 ≈


0.63

As a percentage:

0.625 =


0.625 × 100/100 =


62.5/100 =


62.5%

Convert fractions to percentages, online calculator


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

As a positive proper fraction
(numerator < denominator):
5/8 = 5/8

As a decimal number:
5/80.63

As a percentage:
5/8 = 62.5%

How to reduce (simplify) the common fraction: 9/14?


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

5/8 already reduced (simplified) Jun 03 22:29 UTC (GMT)
334/303 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
334 ÷ 303 = 1 and remainder = 31 =>
334/303 = (1 × 303 + 31)/303 = 1 + 31/303 = 1 31/303
Jun 03 22:29 UTC (GMT)
- 11/ - 14 already reduced (simplified) Jun 03 22:29 UTC (GMT)
12/24 = (12 ÷ 12)/(24 ÷ 12) = 1/2 Jun 03 22:29 UTC (GMT)
3/2 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
3 ÷ 2 = 1 and remainder = 1 =>
3/2 = (1 × 2 + 1)/2 = 1 + 1/2 = 1 1/2
Jun 03 22:29 UTC (GMT)
- 3/567 = - (3 ÷ 3)/(567 ÷ 3) = - 1/189 Jun 03 22:29 UTC (GMT)
4,762/44 = (4,762 ÷ 2)/(44 ÷ 2) = 2,381/22
Improper fraction, rewrite it as a mixed number:
2,381 ÷ 22 = 108 and remainder = 5 =>
2,381/22 = (108 × 22 + 5)/22 = 108 + 5/22 = 108 5/22
Jun 03 22:29 UTC (GMT)
65/35 = (65 ÷ 5)/(35 ÷ 5) = 13/7
Improper fraction, rewrite it as a mixed number:
13 ÷ 7 = 1 and remainder = 6 =>
13/7 = (1 × 7 + 6)/7 = 1 + 6/7 = 1 6/7
Jun 03 22:29 UTC (GMT)
606/54 = (606 ÷ 6)/(54 ÷ 6) = 101/9
Improper fraction, rewrite it as a mixed number:
101 ÷ 9 = 11 and remainder = 2 =>
101/9 = (11 × 9 + 2)/9 = 11 + 2/9 = 11 2/9
Jun 03 22:28 UTC (GMT)
1,752/77 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
1,752 ÷ 77 = 22 and remainder = 58 =>
1,752/77 = (22 × 77 + 58)/77 = 22 + 58/77 = 22 58/77
Jun 03 22:28 UTC (GMT)
1/200 already reduced (simplified) Jun 03 22:28 UTC (GMT)
64/16 = (64 ÷ 16)/(16 ÷ 16) = 4/1 = 4 Jun 03 22:28 UTC (GMT)
1/200 already reduced (simplified) Jun 03 22:28 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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