How to reduce (simplify) the common fraction 132/12 to its simplest equivalent form, irreducible? Result written as an improper fraction, as an integer 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:


132 = 22 × 3 × 11


12 = 22 × 3

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 × 3 × 11; 22 × 3) = 22 × 3

Calculate the greatest common factor, GCF, online calculator


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

132/12 =


(22 × 3 × 11)/(22 × 3) =


((22 × 3 × 11) ÷ (22 × 3)) / ((22 × 3) ÷ (22 × 3)) =


11/1 =


11

Rewrite the fraction

As a positive improper fraction (numerator > denominator):

11 = 11/1

As a percentage:

11 =


11 × 100/100 =


(11 × 100)/100 =


1,100/100 =


1,100%

Convert fractions to percentages, online calculator


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

As a positive improper fraction (numerator > denominator):
132/12 = 11/1

As an positive integer number:
132/12 = 11

As a percentage:
132/12 = 1,100%

How to reduce (simplify) the common fraction: 142/15?


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

Reduce (simplify) ordinary fractions, online calculator

The latest fractions reduced to the lowest terms

132/12 = (132 ÷ 12)/(12 ÷ 12) = 11/1 = 11 Jul 02 22:39 UTC (GMT)
28/81 already reduced (simplified) Jul 02 22:38 UTC (GMT)
161/120 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
161 ÷ 120 = 1 and remainder = 41 =>
161/120 = (1 × 120 + 41)/120 = 1 + 41/120 = 1 41/120
Jul 02 22:38 UTC (GMT)
161/120 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
161 ÷ 120 = 1 and remainder = 41 =>
161/120 = (1 × 120 + 41)/120 = 1 + 41/120 = 1 41/120
Jul 02 22:38 UTC (GMT)
58/15 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
58 ÷ 15 = 3 and remainder = 13 =>
58/15 = (3 × 15 + 13)/15 = 3 + 13/15 = 3 13/15
Jul 02 22:38 UTC (GMT)
56/999 already reduced (simplified) Jul 02 22:38 UTC (GMT)
30/465 = (30 ÷ 15)/(465 ÷ 15) = 2/31 Jul 02 22:38 UTC (GMT)
1,431/4 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
1,431 ÷ 4 = 357 and remainder = 3 =>
1,431/4 = (357 × 4 + 3)/4 = 357 + 3/4 = 357 3/4
Jul 02 22:38 UTC (GMT)
63/2 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
63 ÷ 2 = 31 and remainder = 1 =>
63/2 = (31 × 2 + 1)/2 = 31 + 1/2 = 31 1/2
Jul 02 22:38 UTC (GMT)
- 14/7 = - (14 ÷ 7)/(7 ÷ 7) = - 2/1 = - 2 Jul 02 22:38 UTC (GMT)
3,039/20 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
3,039 ÷ 20 = 151 and remainder = 19 =>
3,039/20 = (151 × 20 + 19)/20 = 151 + 19/20 = 151 19/20
Jul 02 22:38 UTC (GMT)
183/170 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
183 ÷ 170 = 1 and remainder = 13 =>
183/170 = (1 × 170 + 13)/170 = 1 + 13/170 = 1 13/170
Jul 02 22:38 UTC (GMT)
1,250/180 = (1,250 ÷ 10)/(180 ÷ 10) = 125/18
Improper fraction, rewrite it as a mixed number:
125 ÷ 18 = 6 and remainder = 17 =>
125/18 = (6 × 18 + 17)/18 = 6 + 17/18 = 6 17/18
Jul 02 22:38 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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