How to reduce (simplify) the common fraction 4/3 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:


4 = 22


3 is a prime number, it cannot be factored into other prime factors

Calculate the prime factors of numbers, online calculator


Calculate the greatest common factor, GCF:

Multiply all the common prime factors, by the lowest exponents.


But, the numerator and the denominator have no common factors.


gcf (22; 3) = 1

Calculate the greatest common factor, GCF, online calculator


The numerator and the denominator of the fraction are coprime numbers (no common prime factors, GCF = 1), the fraction cannot be reduced (simplified): irreducible fraction.

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.


4 ÷ 3 = 1 and remainder = 1 =>


4 = 1 × 3 + 1 =>


4/3 =


(1 × 3 + 1) / 3 =


1 + 1/3 =


1/3

As a decimal number:

1/3 =


1 + 1/3 =


1 + 1 ÷ 3 =


1.333333333333 ≈


1.33

As a percentage:

1.333333333333 =


1.333333333333 × 100/100 =


133.333333333333/100 =


133.333333333333% ≈


133.33%

Convert fractions to percentages, online calculator


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

As a positive improper fraction (numerator > denominator):
4/3 = 4/3

As a mixed number
(a whole number and a proper fraction, of the same sign):
4/3 = 1/3

As a decimal number:
4/31.33

As a percentage:
4/3133.33%

How to reduce (simplify) the common fraction: 14/8?


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

4/3 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
4 ÷ 3 = 1 and remainder = 1 =>
4/3 = (1 × 3 + 1)/3 = 1 + 1/3 = 1 1/3
Jul 06 23:08 UTC (GMT)
78/1 already reduced (simplified) = 78 Jul 06 23:08 UTC (GMT)
- 58/90 = - (58 ÷ 2)/(90 ÷ 2) = - 29/45 Jul 06 23:08 UTC (GMT)
21/16 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
21 ÷ 16 = 1 and remainder = 5 =>
21/16 = (1 × 16 + 5)/16 = 1 + 5/16 = 1 5/16
Jul 06 23:08 UTC (GMT)
45/410 = (45 ÷ 5)/(410 ÷ 5) = 9/82 Jul 06 23:08 UTC (GMT)
- 12/6 = - (12 ÷ 6)/(6 ÷ 6) = - 2/1 = - 2 Jul 06 23:08 UTC (GMT)
4,975/9 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
4,975 ÷ 9 = 552 and remainder = 7 =>
4,975/9 = (552 × 9 + 7)/9 = 552 + 7/9 = 552 7/9
Jul 06 23:08 UTC (GMT)
67/15 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
67 ÷ 15 = 4 and remainder = 7 =>
67/15 = (4 × 15 + 7)/15 = 4 + 7/15 = 4 7/15
Jul 06 23:08 UTC (GMT)
794/ - 16 = - (794 ÷ 2)/(16 ÷ 2) = - 397/8
Improper fraction, rewrite it as a mixed number:
- 397 ÷ 8 = - 49 and remainder = - 5 =>
- 397/8 = ( - 49 × 8 - 5)/8 = - 49 - 5/8 = - 49 5/8
Jul 06 23:07 UTC (GMT)
236/28 = (236 ÷ 4)/(28 ÷ 4) = 59/7
Improper fraction, rewrite it as a mixed number:
59 ÷ 7 = 8 and remainder = 3 =>
59/7 = (8 × 7 + 3)/7 = 8 + 3/7 = 8 3/7
Jul 06 23:07 UTC (GMT)
296/43 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
296 ÷ 43 = 6 and remainder = 38 =>
296/43 = (6 × 43 + 38)/43 = 6 + 38/43 = 6 38/43
Jul 06 23:07 UTC (GMT)
3,235/126 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
3,235 ÷ 126 = 25 and remainder = 85 =>
3,235/126 = (25 × 126 + 85)/126 = 25 + 85/126 = 25 85/126
Jul 06 23:07 UTC (GMT)
47/484 already reduced (simplified) Jul 06 23:07 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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