How to reduce (simplify) the common fraction 21/56 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:


21 = 3 × 7


56 = 23 × 7

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 × 7; 23 × 7) = 7

Calculate the greatest common factor, GCF, online calculator


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

21/56 =


(3 × 7)/(23 × 7) =


((3 × 7) ÷ 7) / ((23 × 7) ÷ 7) =


3/23 =


3/8

Rewrite the end result:

As a decimal number:

3/8 =


3 ÷ 8 =


0.375 ≈


0.38

As a percentage:

0.375 =


0.375 × 100/100 =


37.5/100 =


37.5%

Convert fractions to percentages, online calculator


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

As a positive proper fraction
(numerator < denominator):
21/56 = 3/8

As a decimal number:
21/560.38

As a percentage:
21/56 = 37.5%

How to reduce (simplify) the common fraction: 26/62?


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

21/56 = (21 ÷ 7)/(56 ÷ 7) = 3/8 Jul 06 23:00 UTC (GMT)
- 33/49 already reduced (simplified) Jul 06 23:00 UTC (GMT)
3,140/1,537 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
3,140 ÷ 1,537 = 2 and remainder = 66 =>
3,140/1,537 = (2 × 1,537 + 66)/1,537 = 2 + 66/1,537 = 2 66/1,537
Jul 06 23:00 UTC (GMT)
1,761/30 = (1,761 ÷ 3)/(30 ÷ 3) = 587/10
Improper fraction, rewrite it as a mixed number:
587 ÷ 10 = 58 and remainder = 7 =>
587/10 = (58 × 10 + 7)/10 = 58 + 7/10 = 58 7/10
Jul 06 23:00 UTC (GMT)
- 18/916 = - (18 ÷ 2)/(916 ÷ 2) = - 9/458 Jul 06 23:00 UTC (GMT)
112/2,217 already reduced (simplified) Jul 06 23:00 UTC (GMT)
10/2 = (10 ÷ 2)/(2 ÷ 2) = 5/1 = 5 Jul 06 23:00 UTC (GMT)
272/2,736 = (272 ÷ 16)/(2,736 ÷ 16) = 17/171 Jul 06 23:00 UTC (GMT)
1,754/66 = (1,754 ÷ 2)/(66 ÷ 2) = 877/33
Improper fraction, rewrite it as a mixed number:
877 ÷ 33 = 26 and remainder = 19 =>
877/33 = (26 × 33 + 19)/33 = 26 + 19/33 = 26 19/33
Jul 06 22:59 UTC (GMT)
110/870 = (110 ÷ 10)/(870 ÷ 10) = 11/87 Jul 06 22:59 UTC (GMT)
2,441/1,000 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
2,441 ÷ 1,000 = 2 and remainder = 441 =>
2,441/1,000 = (2 × 1,000 + 441)/1,000 = 2 + 441/1,000 = 2 441/1,000
Jul 06 22:59 UTC (GMT)
197/150 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
197 ÷ 150 = 1 and remainder = 47 =>
197/150 = (1 × 150 + 47)/150 = 1 + 47/150 = 1 47/150
Jul 06 22:59 UTC (GMT)
11/5 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
11 ÷ 5 = 2 and remainder = 1 =>
11/5 = (2 × 5 + 1)/5 = 2 + 1/5 = 2 1/5
Jul 06 22:59 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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