How to reduce (simplify) the common fraction 20/770 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:


20 = 22 × 5


770 = 2 × 5 × 7 × 11

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 (22 × 5; 2 × 5 × 7 × 11) = 2 × 5

Calculate the greatest common factor, GCF, online calculator


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

20/770 =


(22 × 5)/(2 × 5 × 7 × 11) =


((22 × 5) ÷ (2 × 5)) / ((2 × 5 × 7 × 11) ÷ (2 × 5)) =


2/(7 × 11) =


2/77

Rewrite the end result:

As a decimal number:

2/77 =


2 ÷ 77 =


0.025974025974 ≈


0.03

As a percentage:

0.025974025974 =


0.025974025974 × 100/100 =


2.597402597403/100 =


2.597402597403% ≈


2.6%

Convert fractions to percentages, online calculator


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

As a positive proper fraction
(numerator < denominator):
20/770 = 2/77

As a decimal number:
20/7700.03

As a percentage:
20/7702.6%

How to reduce (simplify) the common fraction: 22/776?


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

20/770 = (20 ÷ 10)/(770 ÷ 10) = 2/77 Jul 04 09:46 UTC (GMT)
648/109 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
648 ÷ 109 = 5 and remainder = 103 =>
648/109 = (5 × 109 + 103)/109 = 5 + 103/109 = 5 103/109
Jul 04 09:46 UTC (GMT)
4,758/12 = (4,758 ÷ 6)/(12 ÷ 6) = 793/2
Improper fraction, rewrite it as a mixed number:
793 ÷ 2 = 396 and remainder = 1 =>
793/2 = (396 × 2 + 1)/2 = 396 + 1/2 = 396 1/2
Jul 04 09:45 UTC (GMT)
328/10 = (328 ÷ 2)/(10 ÷ 2) = 164/5
Improper fraction, rewrite it as a mixed number:
164 ÷ 5 = 32 and remainder = 4 =>
164/5 = (32 × 5 + 4)/5 = 32 + 4/5 = 32 4/5
Jul 04 09:45 UTC (GMT)
1,715/16 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
1,715 ÷ 16 = 107 and remainder = 3 =>
1,715/16 = (107 × 16 + 3)/16 = 107 + 3/16 = 107 3/16
Jul 04 09:45 UTC (GMT)
82/21 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
82 ÷ 21 = 3 and remainder = 19 =>
82/21 = (3 × 21 + 19)/21 = 3 + 19/21 = 3 19/21
Jul 04 09:45 UTC (GMT)
- 57/16 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
- 57 ÷ 16 = - 3 and remainder = - 9 =>
- 57/16 = ( - 3 × 16 - 9)/16 = - 3 - 9/16 = - 3 9/16
Jul 04 09:45 UTC (GMT)
63/4,152 = (63 ÷ 3)/(4,152 ÷ 3) = 21/1,384 Jul 04 09:45 UTC (GMT)
2,832/34 = (2,832 ÷ 2)/(34 ÷ 2) = 1,416/17
Improper fraction, rewrite it as a mixed number:
1,416 ÷ 17 = 83 and remainder = 5 =>
1,416/17 = (83 × 17 + 5)/17 = 83 + 5/17 = 83 5/17
Jul 04 09:45 UTC (GMT)
172/ - 3 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
- 172 ÷ 3 = - 57 and remainder = - 1 =>
- 172/3 = ( - 57 × 3 - 1)/3 = - 57 - 1/3 = - 57 1/3
Jul 04 09:45 UTC (GMT)
562/49 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
562 ÷ 49 = 11 and remainder = 23 =>
562/49 = (11 × 49 + 23)/49 = 11 + 23/49 = 11 23/49
Jul 04 09:45 UTC (GMT)
486/118 = (486 ÷ 2)/(118 ÷ 2) = 243/59
Improper fraction, rewrite it as a mixed number:
243 ÷ 59 = 4 and remainder = 7 =>
243/59 = (4 × 59 + 7)/59 = 4 + 7/59 = 4 7/59
Jul 04 09:45 UTC (GMT)
100/4,094 = (100 ÷ 2)/(4,094 ÷ 2) = 50/2,047 Jul 04 09:45 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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