How to reduce (simplify) the common fraction 55/1,365 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:

55 = 5 × 11


1,365 = 3 × 5 × 7 × 13

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 (5 × 11; 3 × 5 × 7 × 13) = 5

Calculate the greatest common factor, GCF, online calculator


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

55/1,365 =


(5 × 11)/(3 × 5 × 7 × 13) =


((5 × 11) ÷ 5) / ((3 × 5 × 7 × 13) ÷ 5) =


11/(3 × 7 × 13) =


11/273

Rewrite the end result:

As a decimal number:

11/273 =


11 ÷ 273 =


0.040293040293 ≈


0.04

As a percentage:

0.040293040293 =


0.040293040293 × 100/100 =


4.029304029304/100 =


4.029304029304% ≈


4.03%

Convert fractions to percentages, online calculator


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

As a positive proper fraction
(numerator < denominator):
55/1,365 = 11/273

As a decimal number:
55/1,3650.04

As a percentage:
55/1,3654.03%

How to reduce (simplify) the common fraction: 58/1,374?


Writing numbers: comma ',' used as a thousands separator; 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

55/1,365 = (55 ÷ 5)/(1,365 ÷ 5) = 11/273 Jun 03 21:43 UTC (GMT)
21/12 = (21 ÷ 3)/(12 ÷ 3) = 7/4
Improper fraction, rewrite it as a mixed number:
7 ÷ 4 = 1 and remainder = 3 =>
7/4 = (1 × 4 + 3)/4 = 1 + 3/4 = 1 3/4
Jun 03 21:43 UTC (GMT)
165/480 = (165 ÷ 15)/(480 ÷ 15) = 11/32 Jun 03 21:43 UTC (GMT)
36/3 = (36 ÷ 3)/(3 ÷ 3) = 12/1 = 12 Jun 03 21:42 UTC (GMT)
175/2 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
175 ÷ 2 = 87 and remainder = 1 =>
175/2 = (87 × 2 + 1)/2 = 87 + 1/2 = 87 1/2
Jun 03 21:42 UTC (GMT)
152/10 = (152 ÷ 2)/(10 ÷ 2) = 76/5
Improper fraction, rewrite it as a mixed number:
76 ÷ 5 = 15 and remainder = 1 =>
76/5 = (15 × 5 + 1)/5 = 15 + 1/5 = 15 1/5
Jun 03 21:42 UTC (GMT)
232/16 = (232 ÷ 8)/(16 ÷ 8) = 29/2
Improper fraction, rewrite it as a mixed number:
29 ÷ 2 = 14 and remainder = 1 =>
29/2 = (14 × 2 + 1)/2 = 14 + 1/2 = 14 1/2
Jun 03 21:42 UTC (GMT)
36/3 = (36 ÷ 3)/(3 ÷ 3) = 12/1 = 12 Jun 03 21:42 UTC (GMT)
- 12/10 = - (12 ÷ 2)/(10 ÷ 2) = - 6/5
Improper fraction, rewrite it as a mixed number:
- 6 ÷ 5 = - 1 and remainder = - 1 =>
- 6/5 = ( - 1 × 5 - 1)/5 = - 1 - 1/5 = - 1 1/5
Jun 03 21:42 UTC (GMT)
2,189/2,391 already reduced (simplified) Jun 03 21:41 UTC (GMT)
- 42/3 = - (42 ÷ 3)/(3 ÷ 3) = - 14/1 = - 14 Jun 03 21:41 UTC (GMT)
- 6/15 = - (6 ÷ 3)/(15 ÷ 3) = - 2/5 Jun 03 21:41 UTC (GMT)
833/60 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
833 ÷ 60 = 13 and remainder = 53 =>
833/60 = (13 × 60 + 53)/60 = 13 + 53/60 = 13 53/60
Jun 03 21:41 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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