How to reduce (simplify) the common fraction - 56/3 to its simplest equivalent form, irreducible? Result written as an improper fraction, as a mixed number, 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:


56 = 23 × 7


3 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 (23 × 7; 3) = 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.

- 56/3 = - 56/3

Negative improper fraction (|numerator| > |denominator|)
Rewrite the fraction:

As a mixed number (also called a mixed fraction):

Mixed number = a whole number and a proper fraction, of the same sign.


Proper fraction = numerator smaller than denominator.


- 56 ÷ 3 = - 18 and remainder = - 2 =>


- 56 = - 18 × 3 - 2 =>


- 56/3 =


( - 18 × 3 - 2) / 3 =


- 18 - 2/3 =


- 18 2/3

As a decimal number:

- 18 2/3 =


- 18 - 2/3 =


- 18 - 2 ÷ 3 =


- 18.666666666667 ≈


- 18.67

As a percentage:

- 18.666666666667 =


- 18.666666666667 × 100/100 =


- 1,866.666666666667/100 =


- 1,866.666666666667% ≈


- 1,866.67%

Convert fractions to percentages, online calculator


The final answer:
:: written in four ways ::

As a negative improper fraction (|numerator| > |denominator|):
- 56/3 = - 56/3

As a mixed number
(a whole number and a proper fraction, of the same sign):
- 56/3 = - 18 2/3

As a decimal number:
- 56/3 - 18.67

As a percentage:
- 56/3 - 1,866.67%

How to reduce (simplify) the common fraction: - 51/13?


Writing numbers: point '.' used as a decimal mark; two vertical bars surrounding a number, |n|, is the symbol for the absolute value of that number;

Symbols: / fraction bar; ÷ divide; × multiply; - minus; ≈ approximation; = equal;

Reduce (simplify) ordinary fractions, online calculator

The latest fractions reduced to the lowest terms

- 56/3 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
- 56 ÷ 3 = - 18 and remainder = - 2 =>
- 56/3 = ( - 18 × 3 - 2)/3 = - 18 - 2/3 = - 18 2/3
Jun 03 22:31 UTC (GMT)
- 20/8 = - (20 ÷ 4)/(8 ÷ 4) = - 5/2
Improper fraction, rewrite it as a mixed number:
- 5 ÷ 2 = - 2 and remainder = - 1 =>
- 5/2 = ( - 2 × 2 - 1)/2 = - 2 - 1/2 = - 2 1/2
Jun 03 22:31 UTC (GMT)
21/18 = (21 ÷ 3)/(18 ÷ 3) = 7/6
Improper fraction, rewrite it as a mixed number:
7 ÷ 6 = 1 and remainder = 1 =>
7/6 = (1 × 6 + 1)/6 = 1 + 1/6 = 1 1/6
Jun 03 22:31 UTC (GMT)
72/336 = (72 ÷ 24)/(336 ÷ 24) = 3/14 Jun 03 22:31 UTC (GMT)
726/238 = (726 ÷ 2)/(238 ÷ 2) = 363/119
Improper fraction, rewrite it as a mixed number:
363 ÷ 119 = 3 and remainder = 6 =>
363/119 = (3 × 119 + 6)/119 = 3 + 6/119 = 3 6/119
Jun 03 22:31 UTC (GMT)
176/32 = (176 ÷ 16)/(32 ÷ 16) = 11/2
Improper fraction, rewrite it as a mixed number:
11 ÷ 2 = 5 and remainder = 1 =>
11/2 = (5 × 2 + 1)/2 = 5 + 1/2 = 5 1/2
Jun 03 22:31 UTC (GMT)
10/14 = (10 ÷ 2)/(14 ÷ 2) = 5/7 Jun 03 22:31 UTC (GMT)
- 81/16 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
- 81 ÷ 16 = - 5 and remainder = - 1 =>
- 81/16 = ( - 5 × 16 - 1)/16 = - 5 - 1/16 = - 5 1/16
Jun 03 22:31 UTC (GMT)
180/35 = (180 ÷ 5)/(35 ÷ 5) = 36/7
Improper fraction, rewrite it as a mixed number:
36 ÷ 7 = 5 and remainder = 1 =>
36/7 = (5 × 7 + 1)/7 = 5 + 1/7 = 5 1/7
Jun 03 22:31 UTC (GMT)
209/9 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
209 ÷ 9 = 23 and remainder = 2 =>
209/9 = (23 × 9 + 2)/9 = 23 + 2/9 = 23 2/9
Jun 03 22:31 UTC (GMT)
85/41 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
85 ÷ 41 = 2 and remainder = 3 =>
85/41 = (2 × 41 + 3)/41 = 2 + 3/41 = 2 3/41
Jun 03 22:30 UTC (GMT)
- 9/4 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
- 9 ÷ 4 = - 2 and remainder = - 1 =>
- 9/4 = ( - 2 × 4 - 1)/4 = - 2 - 1/4 = - 2 1/4
Jun 03 22:30 UTC (GMT)
45/120 = (45 ÷ 15)/(120 ÷ 15) = 3/8 Jun 03 22:30 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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