How to reduce (simplify) the common fraction 51/5 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:

51 = 3 × 17


5 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 (3 × 17; 5) = 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.

Positive 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.


51 ÷ 5 = 10 and remainder = 1 =>


51 = 10 × 5 + 1 =>


51/5 =


(10 × 5 + 1) / 5 =


10 + 1/5 =


10 1/5

As a decimal number:

10 1/5 =


10 + 1/5 =


10 + 1 ÷ 5 =


10.2

As a percentage:

10.2 =


10.2 × 100/100 =


1,020/100 =


1,020%

Convert fractions to percentages, online calculator


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

As a positive improper fraction (numerator > denominator):
51/5 = 51/5

As a mixed number
(a whole number and a proper fraction, of the same sign):
51/5 = 10 1/5

As a decimal number:
51/5 = 10.2

As a percentage:
51/5 = 1,020%

How to reduce (simplify) the common fraction: 55/14?


Writing numbers: point '.' used as a decimal mark;

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

Reduce (simplify) ordinary fractions, online calculator

The latest fractions reduced to the lowest terms

51/5 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
51 ÷ 5 = 10 and remainder = 1 =>
51/5 = (10 × 5 + 1)/5 = 10 + 1/5 = 10 1/5
Jul 02 18:13 UTC (GMT)
9,504/20 = (9,504 ÷ 4)/(20 ÷ 4) = 2,376/5
Improper fraction, rewrite it as a mixed number:
2,376 ÷ 5 = 475 and remainder = 1 =>
2,376/5 = (475 × 5 + 1)/5 = 475 + 1/5 = 475 1/5
Jul 02 18:13 UTC (GMT)
160/7 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
160 ÷ 7 = 22 and remainder = 6 =>
160/7 = (22 × 7 + 6)/7 = 22 + 6/7 = 22 6/7
Jul 02 18:13 UTC (GMT)
36/2 = (36 ÷ 2)/(2 ÷ 2) = 18/1 = 18 Jul 02 18:13 UTC (GMT)
1/24 already reduced (simplified) Jul 02 18:13 UTC (GMT)
880/1,421 already reduced (simplified) Jul 02 18:13 UTC (GMT)
36/8 = (36 ÷ 4)/(8 ÷ 4) = 9/2
Improper fraction, rewrite it as a mixed number:
9 ÷ 2 = 4 and remainder = 1 =>
9/2 = (4 × 2 + 1)/2 = 4 + 1/2 = 4 1/2
Jul 02 18:13 UTC (GMT)
30/638 = (30 ÷ 2)/(638 ÷ 2) = 15/319 Jul 02 18:13 UTC (GMT)
206/148 = (206 ÷ 2)/(148 ÷ 2) = 103/74
Improper fraction, rewrite it as a mixed number:
103 ÷ 74 = 1 and remainder = 29 =>
103/74 = (1 × 74 + 29)/74 = 1 + 29/74 = 1 29/74
Jul 02 18:13 UTC (GMT)
- 26/7 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
- 26 ÷ 7 = - 3 and remainder = - 5 =>
- 26/7 = ( - 3 × 7 - 5)/7 = - 3 - 5/7 = - 3 5/7
Jul 02 18:13 UTC (GMT)
60/200 = (60 ÷ 20)/(200 ÷ 20) = 3/10 Jul 02 18:12 UTC (GMT)
2,496/28 = (2,496 ÷ 4)/(28 ÷ 4) = 624/7
Improper fraction, rewrite it as a mixed number:
624 ÷ 7 = 89 and remainder = 1 =>
624/7 = (89 × 7 + 1)/7 = 89 + 1/7 = 89 1/7
Jul 02 18:12 UTC (GMT)
105/72 = (105 ÷ 3)/(72 ÷ 3) = 35/24
Improper fraction, rewrite it as a mixed number:
35 ÷ 24 = 1 and remainder = 11 =>
35/24 = (1 × 24 + 11)/24 = 1 + 11/24 = 1 11/24
Jul 02 18:12 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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