How to reduce (simplify) the common fraction 18/4 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:


18 = 2 × 32


4 = 22

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 (2 × 32; 22) = 2

Calculate the greatest common factor, GCF, online calculator


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

18/4 =


(2 × 32)/22 =


((2 × 32) ÷ 2) / (22 ÷ 2) =


32/2 =


9/2

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.


9 ÷ 2 = 4 and remainder = 1 =>


9 = 4 × 2 + 1 =>


9/2 =


(4 × 2 + 1) / 2 =


4 + 1/2 =


1/2

As a decimal number:

1/2 =


4 + 1/2 =


4 + 1 ÷ 2 =


4.5

As a percentage:

4.5 =


4.5 × 100/100 =


450/100 =


450%

Convert fractions to percentages, online calculator


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

As a positive improper fraction (numerator > denominator):
18/4 = 9/2

As a mixed number
(a whole number and a proper fraction, of the same sign):
18/4 = 1/2

As a decimal number:
18/4 = 4.5

As a percentage:
18/4 = 450%

How to reduce (simplify) the common fraction: 23/9?


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

115/3,579 already reduced (simplified) Jul 06 23:46 UTC (GMT)
18/4 = (18 ÷ 2)/(4 ÷ 2) = 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 06 23:46 UTC (GMT)
975/56 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
975 ÷ 56 = 17 and remainder = 23 =>
975/56 = (17 × 56 + 23)/56 = 17 + 23/56 = 17 23/56
Jul 06 23:46 UTC (GMT)
- 59/14 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
- 59 ÷ 14 = - 4 and remainder = - 3 =>
- 59/14 = ( - 4 × 14 - 3)/14 = - 4 - 3/14 = - 4 3/14
Jul 06 23:46 UTC (GMT)
525/10,000 = (525 ÷ 25)/(10,000 ÷ 25) = 21/400 Jul 06 23:46 UTC (GMT)
1,024/243 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
1,024 ÷ 243 = 4 and remainder = 52 =>
1,024/243 = (4 × 243 + 52)/243 = 4 + 52/243 = 4 52/243
Jul 06 23:46 UTC (GMT)
3,528/1,000 = (3,528 ÷ 8)/(1,000 ÷ 8) = 441/125
Improper fraction, rewrite it as a mixed number:
441 ÷ 125 = 3 and remainder = 66 =>
441/125 = (3 × 125 + 66)/125 = 3 + 66/125 = 3 66/125
Jul 06 23:46 UTC (GMT)
1,396/1,637 already reduced (simplified) Jul 06 23:46 UTC (GMT)
525/56 = (525 ÷ 7)/(56 ÷ 7) = 75/8
Improper fraction, rewrite it as a mixed number:
75 ÷ 8 = 9 and remainder = 3 =>
75/8 = (9 × 8 + 3)/8 = 9 + 3/8 = 9 3/8
Jul 06 23:46 UTC (GMT)
- 49/82 already reduced (simplified) Jul 06 23:46 UTC (GMT)
719/460 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
719 ÷ 460 = 1 and remainder = 259 =>
719/460 = (1 × 460 + 259)/460 = 1 + 259/460 = 1 259/460
Jul 06 23:46 UTC (GMT)
720/4,218 = (720 ÷ 6)/(4,218 ÷ 6) = 120/703 Jul 06 23:46 UTC (GMT)
37/785 already reduced (simplified) Jul 06 23:46 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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