How to reduce (simplify) the common fraction 1,731/25 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:


1,731 = 3 × 577


25 = 52

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 (3 × 577; 52) = 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.


1,731 ÷ 25 = 69 and remainder = 6 =>


1,731 = 69 × 25 + 6 =>


1,731/25 =


(69 × 25 + 6) / 25 =


69 + 6/25 =


69 6/25

As a decimal number:

69 6/25 =


69 + 6/25 =


69 + 6 ÷ 25 =


69.24

As a percentage:

69.24 =


69.24 × 100/100 =


6,924/100 =


6,924%

Convert fractions to percentages, online calculator


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

As a positive improper fraction (numerator > denominator):
1,731/25 = 1,731/25

As a mixed number
(a whole number and a proper fraction, of the same sign):
1,731/25 = 69 6/25

As a decimal number:
1,731/25 = 69.24

As a percentage:
1,731/25 = 6,924%

How to reduce (simplify) the common fraction: 1,737/33?


Writing numbers: comma ',' used as a thousands separator; 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

1,731/25 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
1,731 ÷ 25 = 69 and remainder = 6 =>
1,731/25 = (69 × 25 + 6)/25 = 69 + 6/25 = 69 6/25
Jul 02 22:25 UTC (GMT)
155/890 = (155 ÷ 5)/(890 ÷ 5) = 31/178 Jul 02 22:25 UTC (GMT)
1,090/869 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
1,090 ÷ 869 = 1 and remainder = 221 =>
1,090/869 = (1 × 869 + 221)/869 = 1 + 221/869 = 1 221/869
Jul 02 22:25 UTC (GMT)
660/23 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
660 ÷ 23 = 28 and remainder = 16 =>
660/23 = (28 × 23 + 16)/23 = 28 + 16/23 = 28 16/23
Jul 02 22:25 UTC (GMT)
65/1,626 already reduced (simplified) Jul 02 22:25 UTC (GMT)
4,639/39 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
4,639 ÷ 39 = 118 and remainder = 37 =>
4,639/39 = (118 × 39 + 37)/39 = 118 + 37/39 = 118 37/39
Jul 02 22:25 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 22:25 UTC (GMT)
1,319/400 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
1,319 ÷ 400 = 3 and remainder = 119 =>
1,319/400 = (3 × 400 + 119)/400 = 3 + 119/400 = 3 119/400
Jul 02 22:25 UTC (GMT)
784/27 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
784 ÷ 27 = 29 and remainder = 1 =>
784/27 = (29 × 27 + 1)/27 = 29 + 1/27 = 29 1/27
Jul 02 22:25 UTC (GMT)
71/40 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
71 ÷ 40 = 1 and remainder = 31 =>
71/40 = (1 × 40 + 31)/40 = 1 + 31/40 = 1 31/40
Jul 02 22:25 UTC (GMT)
21/14 = (21 ÷ 7)/(14 ÷ 7) = 3/2
Improper fraction, rewrite it as a mixed number:
3 ÷ 2 = 1 and remainder = 1 =>
3/2 = (1 × 2 + 1)/2 = 1 + 1/2 = 1 1/2
Jul 02 22:25 UTC (GMT)
33/2 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
33 ÷ 2 = 16 and remainder = 1 =>
33/2 = (16 × 2 + 1)/2 = 16 + 1/2 = 16 1/2
Jul 02 22:25 UTC (GMT)
122/24 = (122 ÷ 2)/(24 ÷ 2) = 61/12
Improper fraction, rewrite it as a mixed number:
61 ÷ 12 = 5 and remainder = 1 =>
61/12 = (5 × 12 + 1)/12 = 5 + 1/12 = 5 1/12
Jul 02 22:25 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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