How to reduce (simplify) the common fraction 15/23 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:

15 = 3 × 5


23 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 (3 × 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:

15/23 =


15 ÷ 23 =


0.652173913043 ≈


0.65

As a percentage:

0.652173913043 =


0.652173913043 × 100/100 =


65.217391304348/100 =


65.217391304348% ≈


65.22%

Convert fractions to percentages, online calculator


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

As a positive proper fraction
(numerator < denominator):
15/23 = 15/23

As a decimal number:
15/230.65

As a percentage:
15/2365.22%

How to reduce (simplify) the common fraction: 20/26?


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

15/23 already reduced (simplified) Jul 04 10:19 UTC (GMT)
- 59/243 already reduced (simplified) Jul 04 10:19 UTC (GMT)
258/300 = (258 ÷ 6)/(300 ÷ 6) = 43/50 Jul 04 10:19 UTC (GMT)
541/97 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
541 ÷ 97 = 5 and remainder = 56 =>
541/97 = (5 × 97 + 56)/97 = 5 + 56/97 = 5 56/97
Jul 04 10:19 UTC (GMT)
482/ - 13 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
- 482 ÷ 13 = - 37 and remainder = - 1 =>
- 482/13 = ( - 37 × 13 - 1)/13 = - 37 - 1/13 = - 37 1/13
Jul 04 10:19 UTC (GMT)
124/160 = (124 ÷ 4)/(160 ÷ 4) = 31/40 Jul 04 10:18 UTC (GMT)
4,615/20 = (4,615 ÷ 5)/(20 ÷ 5) = 923/4
Improper fraction, rewrite it as a mixed number:
923 ÷ 4 = 230 and remainder = 3 =>
923/4 = (230 × 4 + 3)/4 = 230 + 3/4 = 230 3/4
Jul 04 10:18 UTC (GMT)
501/798 = (501 ÷ 3)/(798 ÷ 3) = 167/266 Jul 04 10:18 UTC (GMT)
14/36 = (14 ÷ 2)/(36 ÷ 2) = 7/18 Jul 04 10:18 UTC (GMT)
464/8 = (464 ÷ 8)/(8 ÷ 8) = 58/1 = 58 Jul 04 10:18 UTC (GMT)
2,355/20 = (2,355 ÷ 5)/(20 ÷ 5) = 471/4
Improper fraction, rewrite it as a mixed number:
471 ÷ 4 = 117 and remainder = 3 =>
471/4 = (117 × 4 + 3)/4 = 117 + 3/4 = 117 3/4
Jul 04 10:18 UTC (GMT)
19/ - 3 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
- 19 ÷ 3 = - 6 and remainder = - 1 =>
- 19/3 = ( - 6 × 3 - 1)/3 = - 6 - 1/3 = - 6 1/3
Jul 04 10:18 UTC (GMT)
147/10 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
147 ÷ 10 = 14 and remainder = 7 =>
147/10 = (14 × 10 + 7)/10 = 14 + 7/10 = 14 7/10
Jul 04 10:18 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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