How to reduce (simplify) the common fraction 12/48 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:


12 = 22 × 3


48 = 24 × 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; 24 × 3) = 22 × 3

Calculate the greatest common factor, GCF, online calculator


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

12/48 =


(22 × 3)/(24 × 3) =


((22 × 3) ÷ (22 × 3)) / ((24 × 3) ÷ (22 × 3)) =


1/22 =


1/4

Rewrite the end result:

As a decimal number:

1/4 =


1 ÷ 4 =


0.25

As a percentage:

0.25 =


0.25 × 100/100 =


25/100 =


25%

Convert fractions to percentages, online calculator


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

As a positive proper fraction
(numerator < denominator):
12/48 = 1/4

As a decimal number:
12/48 = 0.25

As a percentage:
12/48 = 25%

How to reduce (simplify) the common fraction: 22/58?


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

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

Reduce (simplify) ordinary fractions, online calculator

The latest fractions reduced to the lowest terms

12/48 = (12 ÷ 12)/(48 ÷ 12) = 1/4 Jul 02 19:26 UTC (GMT)
4,612/49 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
4,612 ÷ 49 = 94 and remainder = 6 =>
4,612/49 = (94 × 49 + 6)/49 = 94 + 6/49 = 94 6/49
Jul 02 19:26 UTC (GMT)
81/5 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
81 ÷ 5 = 16 and remainder = 1 =>
81/5 = (16 × 5 + 1)/5 = 16 + 1/5 = 16 1/5
Jul 02 19:26 UTC (GMT)
25/5 = (25 ÷ 5)/(5 ÷ 5) = 5/1 = 5 Jul 02 19:26 UTC (GMT)
84/455 = (84 ÷ 7)/(455 ÷ 7) = 12/65 Jul 02 19:26 UTC (GMT)
733/6 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
733 ÷ 6 = 122 and remainder = 1 =>
733/6 = (122 × 6 + 1)/6 = 122 + 1/6 = 122 1/6
Jul 02 19:26 UTC (GMT)
28/8 = (28 ÷ 4)/(8 ÷ 4) = 7/2
Improper fraction, rewrite it as a mixed number:
7 ÷ 2 = 3 and remainder = 1 =>
7/2 = (3 × 2 + 1)/2 = 3 + 1/2 = 3 1/2
Jul 02 19:25 UTC (GMT)
- 16/ - 8 = (16 ÷ 8)/(8 ÷ 8) = 2/1 = 2 Jul 02 19:25 UTC (GMT)
110/6 = (110 ÷ 2)/(6 ÷ 2) = 55/3
Improper fraction, rewrite it as a mixed number:
55 ÷ 3 = 18 and remainder = 1 =>
55/3 = (18 × 3 + 1)/3 = 18 + 1/3 = 18 1/3
Jul 02 19:25 UTC (GMT)
82/801 already reduced (simplified) Jul 02 19:25 UTC (GMT)
247/62 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
247 ÷ 62 = 3 and remainder = 61 =>
247/62 = (3 × 62 + 61)/62 = 3 + 61/62 = 3 61/62
Jul 02 19:25 UTC (GMT)
24/80 = (24 ÷ 8)/(80 ÷ 8) = 3/10 Jul 02 19:25 UTC (GMT)
34/2,965 already reduced (simplified) Jul 02 19:25 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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