How to reduce (simplify) the common fraction 20/4 to its simplest equivalent form, irreducible? Result written as an improper fraction, as an integer 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


4 = 22

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; 22) = 22

Calculate the greatest common factor, GCF, online calculator


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

20/4 =


(22 × 5)/22 =


((22 × 5) ÷ 22) / (22 ÷ 22) =


5/1 =


5

Rewrite the fraction

As a positive improper fraction (numerator > denominator):

5 = 5/1

As a percentage:

5 =


5 × 100/100 =


(5 × 100)/100 =


500/100 =


500%

Convert fractions to percentages, online calculator


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

As a positive improper fraction (numerator > denominator):
20/4 = 5/1

As an positive integer number:
20/4 = 5

As a percentage:
20/4 = 500%

How to reduce (simplify) the common fraction: 29/10?


Symbols: / fraction bar; ÷ divide; × multiply; = equal;

Reduce (simplify) ordinary fractions, online calculator

The latest fractions reduced to the lowest terms

20/4 = (20 ÷ 4)/(4 ÷ 4) = 5/1 = 5 Jul 06 23:39 UTC (GMT)
91/2,337 already reduced (simplified) Jul 06 23:39 UTC (GMT)
95/11 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
95 ÷ 11 = 8 and remainder = 7 =>
95/11 = (8 × 11 + 7)/11 = 8 + 7/11 = 8 7/11
Jul 06 23:39 UTC (GMT)
3,347/434 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
3,347 ÷ 434 = 7 and remainder = 309 =>
3,347/434 = (7 × 434 + 309)/434 = 7 + 309/434 = 7 309/434
Jul 06 23:39 UTC (GMT)
27/258 = (27 ÷ 3)/(258 ÷ 3) = 9/86 Jul 06 23:39 UTC (GMT)
- 43/ - 55 already reduced (simplified) Jul 06 23:39 UTC (GMT)
695/167 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
695 ÷ 167 = 4 and remainder = 27 =>
695/167 = (4 × 167 + 27)/167 = 4 + 27/167 = 4 27/167
Jul 06 23:39 UTC (GMT)
555/100 = (555 ÷ 5)/(100 ÷ 5) = 111/20
Improper fraction, rewrite it as a mixed number:
111 ÷ 20 = 5 and remainder = 11 =>
111/20 = (5 × 20 + 11)/20 = 5 + 11/20 = 5 11/20
Jul 06 23:39 UTC (GMT)
161/125 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
161 ÷ 125 = 1 and remainder = 36 =>
161/125 = (1 × 125 + 36)/125 = 1 + 36/125 = 1 36/125
Jul 06 23:39 UTC (GMT)
968/517 = (968 ÷ 11)/(517 ÷ 11) = 88/47
Improper fraction, rewrite it as a mixed number:
88 ÷ 47 = 1 and remainder = 41 =>
88/47 = (1 × 47 + 41)/47 = 1 + 41/47 = 1 41/47
Jul 06 23:39 UTC (GMT)
150/45 = (150 ÷ 15)/(45 ÷ 15) = 10/3
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 06 23:39 UTC (GMT)
52/12 = (52 ÷ 4)/(12 ÷ 4) = 13/3
Improper fraction, rewrite it as a mixed number:
13 ÷ 3 = 4 and remainder = 1 =>
13/3 = (4 × 3 + 1)/3 = 4 + 1/3 = 4 1/3
Jul 06 23:39 UTC (GMT)
123/376 already reduced (simplified) Jul 06 23:39 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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