How to reduce (simplify) the common fraction 3/36 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:


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


36 = 22 × 32

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 (3; 22 × 32) = 3

Calculate the greatest common factor, GCF, online calculator


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

3/36 =


3/(22 × 32) =


(3 ÷ 3) / ((22 × 32) ÷ 3) =


1/(22 × 3) =


1/12

Rewrite the end result:

As a decimal number:

1/12 =


1 ÷ 12 =


0.083333333333 ≈


0.08

As a percentage:

0.083333333333 =


0.083333333333 × 100/100 =


8.333333333333/100 =


8.333333333333% ≈


8.33%

Convert fractions to percentages, online calculator


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

As a positive proper fraction
(numerator < denominator):
3/36 = 1/12

As a decimal number:
3/360.08

As a percentage:
3/368.33%

How to reduce (simplify) the common fraction: 12/44?


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

3/36 = (3 ÷ 3)/(36 ÷ 3) = 1/12 Jul 02 18:01 UTC (GMT)
3,742/81 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
3,742 ÷ 81 = 46 and remainder = 16 =>
3,742/81 = (46 × 81 + 16)/81 = 46 + 16/81 = 46 16/81
Jul 02 18:01 UTC (GMT)
3,830/38 = (3,830 ÷ 2)/(38 ÷ 2) = 1,915/19
Improper fraction, rewrite it as a mixed number:
1,915 ÷ 19 = 100 and remainder = 15 =>
1,915/19 = (100 × 19 + 15)/19 = 100 + 15/19 = 100 15/19
Jul 02 18:01 UTC (GMT)
3,148/49 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
3,148 ÷ 49 = 64 and remainder = 12 =>
3,148/49 = (64 × 49 + 12)/49 = 64 + 12/49 = 64 12/49
Jul 02 18:01 UTC (GMT)
90/321 = (90 ÷ 3)/(321 ÷ 3) = 30/107 Jul 02 18:01 UTC (GMT)
- 81/11 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
- 81 ÷ 11 = - 7 and remainder = - 4 =>
- 81/11 = ( - 7 × 11 - 4)/11 = - 7 - 4/11 = - 7 4/11
Jul 02 18:01 UTC (GMT)
1,142/1,012 = (1,142 ÷ 2)/(1,012 ÷ 2) = 571/506
Improper fraction, rewrite it as a mixed number:
571 ÷ 506 = 1 and remainder = 65 =>
571/506 = (1 × 506 + 65)/506 = 1 + 65/506 = 1 65/506
Jul 02 18:01 UTC (GMT)
10/3 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
10 ÷ 3 = 3 and remainder = 1 =>
10/3 = (3 × 3 + 1)/3 = 3 + 1/3 = 3 1/3
Jul 02 18:01 UTC (GMT)
2/16 = (2 ÷ 2)/(16 ÷ 2) = 1/8 Jul 02 18:01 UTC (GMT)
179/257 already reduced (simplified) Jul 02 18:01 UTC (GMT)
515/6 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
515 ÷ 6 = 85 and remainder = 5 =>
515/6 = (85 × 6 + 5)/6 = 85 + 5/6 = 85 5/6
Jul 02 18:00 UTC (GMT)
237/301 already reduced (simplified) Jul 02 18:00 UTC (GMT)
13/5 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
13 ÷ 5 = 2 and remainder = 3 =>
13/5 = (2 × 5 + 3)/5 = 2 + 3/5 = 2 3/5
Jul 02 18:00 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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