How to reduce (simplify) the common fraction - 23/100 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:


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


100 = 22 × 52

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 (23; 22 × 52) = 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.

- 23/100 = - 23/100

Rewrite the fraction:

As a decimal number:

- 23/100 =


- 23 ÷ 100 =


- 0.23

As a percentage:

- 0.23 =


- 0.23 × 100/100 =


- 23/100 =


- 23%

Convert fractions to percentages, online calculator


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

As a negative proper fraction
(|numerator| < |denominator|):
- 23/100 = - 23/100

As a decimal number:
- 23/100 = - 0.23

As a percentage:
- 23/100 = - 23%

How to reduce (simplify) the common fraction: - 13/105?


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

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Improper fraction, rewrite it as a mixed number:
614 ÷ 125 = 4 and remainder = 114 =>
614/125 = (4 × 125 + 114)/125 = 4 + 114/125 = 4 114/125
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Improper fraction, rewrite it as a mixed number:
282 ÷ 131 = 2 and remainder = 20 =>
282/131 = (2 × 131 + 20)/131 = 2 + 20/131 = 2 20/131
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Improper fraction, rewrite it as a mixed number:
1,880 ÷ 53 = 35 and remainder = 25 =>
1,880/53 = (35 × 53 + 25)/53 = 35 + 25/53 = 35 25/53
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Improper fraction, rewrite it as a mixed number:
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Improper fraction, rewrite it as a mixed number:
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795/76 = (10 × 76 + 35)/76 = 10 + 35/76 = 10 35/76
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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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