How to reduce (simplify) the common fraction 188/22 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:


188 = 22 × 47


22 = 2 × 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 × 47; 2 × 11) = 2

Calculate the greatest common factor, GCF, online calculator


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

188/22 =


(22 × 47)/(2 × 11) =


((22 × 47) ÷ 2) / ((2 × 11) ÷ 2) =


(2 × 47)/11 =


94/11

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.


94 ÷ 11 = 8 and remainder = 6 =>


94 = 8 × 11 + 6 =>


94/11 =


(8 × 11 + 6) / 11 =


8 + 6/11 =


6/11

As a decimal number:

6/11 =


8 + 6/11 =


8 + 6 ÷ 11 =


8.545454545455 ≈


8.55

As a percentage:

8.545454545455 =


8.545454545455 × 100/100 =


854.545454545455/100 =


854.545454545455% ≈


854.55%

Convert fractions to percentages, online calculator


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

As a positive improper fraction (numerator > denominator):
188/22 = 94/11

As a mixed number
(a whole number and a proper fraction, of the same sign):
188/22 = 6/11

As a decimal number:
188/228.55

As a percentage:
188/22854.55%

How to reduce (simplify) the common fraction: 197/32?


Writing numbers: 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

188/22 = (188 ÷ 2)/(22 ÷ 2) = 94/11
Improper fraction, rewrite it as a mixed number:
94 ÷ 11 = 8 and remainder = 6 =>
94/11 = (8 × 11 + 6)/11 = 8 + 6/11 = 8 6/11
Jul 02 18:09 UTC (GMT)
- 1/25 already reduced (simplified) Jul 02 18:09 UTC (GMT)
560/100 = (560 ÷ 20)/(100 ÷ 20) = 28/5
Improper fraction, rewrite it as a mixed number:
28 ÷ 5 = 5 and remainder = 3 =>
28/5 = (5 × 5 + 3)/5 = 5 + 3/5 = 5 3/5
Jul 02 18:09 UTC (GMT)
- 19/28 already reduced (simplified) Jul 02 18:09 UTC (GMT)
21/112 = (21 ÷ 7)/(112 ÷ 7) = 3/16 Jul 02 18:09 UTC (GMT)
- 17/9 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
- 17 ÷ 9 = - 1 and remainder = - 8 =>
- 17/9 = ( - 1 × 9 - 8)/9 = - 1 - 8/9 = - 1 8/9
Jul 02 18:09 UTC (GMT)
- 1/202 already reduced (simplified) Jul 02 18:09 UTC (GMT)
- 13/922 already reduced (simplified) Jul 02 18:09 UTC (GMT)
- 25/10 = - (25 ÷ 5)/(10 ÷ 5) = - 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
Jul 02 18:09 UTC (GMT)
- 22/94 = - (22 ÷ 2)/(94 ÷ 2) = - 11/47 Jul 02 18:09 UTC (GMT)
- 13/4 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
- 13 ÷ 4 = - 3 and remainder = - 1 =>
- 13/4 = ( - 3 × 4 - 1)/4 = - 3 - 1/4 = - 3 1/4
Jul 02 18:09 UTC (GMT)
- 13/8 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
- 13 ÷ 8 = - 1 and remainder = - 5 =>
- 13/8 = ( - 1 × 8 - 5)/8 = - 1 - 5/8 = - 1 5/8
Jul 02 18:09 UTC (GMT)
- 12,066/986 = - (12,066 ÷ 2)/(986 ÷ 2) = - 6,033/493
Improper fraction, rewrite it as a mixed number:
- 6,033 ÷ 493 = - 12 and remainder = - 117 =>
- 6,033/493 = ( - 12 × 493 - 117)/493 = - 12 - 117/493 = - 12 117/493
Jul 02 18:09 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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