How to reduce (simplify) the common fraction 5,180/990 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:


5,180 = 22 × 5 × 7 × 37


990 = 2 × 32 × 5 × 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 × 7 × 37; 2 × 32 × 5 × 11) = 2 × 5

Calculate the greatest common factor, GCF, online calculator


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

5,180/990 =


(22 × 5 × 7 × 37)/(2 × 32 × 5 × 11) =


((22 × 5 × 7 × 37) ÷ (2 × 5)) / ((2 × 32 × 5 × 11) ÷ (2 × 5)) =


(2 × 7 × 37)/(32 × 11) =


518/99

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.


518 ÷ 99 = 5 and remainder = 23 =>


518 = 5 × 99 + 23 =>


518/99 =


(5 × 99 + 23) / 99 =


5 + 23/99 =


23/99

As a decimal number:

23/99 =


5 + 23/99 =


5 + 23 ÷ 99 =


5.232323232323 ≈


5.23

As a percentage:

5.232323232323 =


5.232323232323 × 100/100 =


523.232323232323/100 =


523.232323232323% ≈


523.23%

Convert fractions to percentages, online calculator


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

As a positive improper fraction (numerator > denominator):
5,180/990 = 518/99

As a mixed number
(a whole number and a proper fraction, of the same sign):
5,180/990 = 23/99

As a decimal number:
5,180/9905.23

As a percentage:
5,180/990523.23%

How to reduce (simplify) the common fraction: 5,186/994?


Writing numbers: comma ',' used as a thousands separator; point '.' used as a decimal mark;

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

Reduce (simplify) ordinary fractions, online calculator

The latest fractions reduced to the lowest terms

5,180/990 = (5,180 ÷ 10)/(990 ÷ 10) = 518/99
Improper fraction, rewrite it as a mixed number:
518 ÷ 99 = 5 and remainder = 23 =>
518/99 = (5 × 99 + 23)/99 = 5 + 23/99 = 5 23/99
Jul 02 22:04 UTC (GMT)
563/63 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
563 ÷ 63 = 8 and remainder = 59 =>
563/63 = (8 × 63 + 59)/63 = 8 + 59/63 = 8 59/63
Jul 02 22:04 UTC (GMT)
563/63 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
563 ÷ 63 = 8 and remainder = 59 =>
563/63 = (8 × 63 + 59)/63 = 8 + 59/63 = 8 59/63
Jul 02 22:04 UTC (GMT)
3,827/8 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
3,827 ÷ 8 = 478 and remainder = 3 =>
3,827/8 = (478 × 8 + 3)/8 = 478 + 3/8 = 478 3/8
Jul 02 22:04 UTC (GMT)
190/2,967 already reduced (simplified) Jul 02 22:04 UTC (GMT)
270/1,377 = (270 ÷ 27)/(1,377 ÷ 27) = 10/51 Jul 02 22:04 UTC (GMT)
16/2,086 = (16 ÷ 2)/(2,086 ÷ 2) = 8/1,043 Jul 02 22:04 UTC (GMT)
4,272/22 = (4,272 ÷ 2)/(22 ÷ 2) = 2,136/11
Improper fraction, rewrite it as a mixed number:
2,136 ÷ 11 = 194 and remainder = 2 =>
2,136/11 = (194 × 11 + 2)/11 = 194 + 2/11 = 194 2/11
Jul 02 22:04 UTC (GMT)
47/90 already reduced (simplified) Jul 02 22:04 UTC (GMT)
32/195 already reduced (simplified) Jul 02 22:04 UTC (GMT)
- 50/24 = - (50 ÷ 2)/(24 ÷ 2) = - 25/12
Improper fraction, rewrite it as a mixed number:
- 25 ÷ 12 = - 2 and remainder = - 1 =>
- 25/12 = ( - 2 × 12 - 1)/12 = - 2 - 1/12 = - 2 1/12
Jul 02 22:04 UTC (GMT)
778/928 = (778 ÷ 2)/(928 ÷ 2) = 389/464 Jul 02 22:04 UTC (GMT)
75/112 already reduced (simplified) Jul 02 22:04 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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