How to reduce (simplify) the common fraction 37/44 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:


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


44 = 22 × 11

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 (37; 22 × 11) = 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.

Rewrite the fraction:

As a decimal number:

37/44 =


37 ÷ 44 =


0.840909090909 ≈


0.84

As a percentage:

0.840909090909 =


0.840909090909 × 100/100 =


84.090909090909/100 =


84.090909090909% ≈


84.09%

Convert fractions to percentages, online calculator


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

As a positive proper fraction
(numerator < denominator):
37/44 = 37/44

As a decimal number:
37/440.84

As a percentage:
37/4484.09%

How to reduce (simplify) the common fraction: 47/52?


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

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

Reduce (simplify) ordinary fractions, online calculator

The latest fractions reduced to the lowest terms

37/44 already reduced (simplified) Jul 02 22:59 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 02 22:59 UTC (GMT)
13/26 = (13 ÷ 13)/(26 ÷ 13) = 1/2 Jul 02 22:58 UTC (GMT)
54/1,000 = (54 ÷ 2)/(1,000 ÷ 2) = 27/500 Jul 02 22:58 UTC (GMT)
567/58 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
567 ÷ 58 = 9 and remainder = 45 =>
567/58 = (9 × 58 + 45)/58 = 9 + 45/58 = 9 45/58
Jul 02 22:58 UTC (GMT)
87/4 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
87 ÷ 4 = 21 and remainder = 3 =>
87/4 = (21 × 4 + 3)/4 = 21 + 3/4 = 21 3/4
Jul 02 22:58 UTC (GMT)
8/10,010 = (8 ÷ 2)/(10,010 ÷ 2) = 4/5,005 Jul 02 22:58 UTC (GMT)
129/4,733 already reduced (simplified) Jul 02 22:58 UTC (GMT)
375/1,000 = (375 ÷ 125)/(1,000 ÷ 125) = 3/8 Jul 02 22:58 UTC (GMT)
98/11 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
98 ÷ 11 = 8 and remainder = 10 =>
98/11 = (8 × 11 + 10)/11 = 8 + 10/11 = 8 10/11
Jul 02 22:58 UTC (GMT)
2,633/15 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
2,633 ÷ 15 = 175 and remainder = 8 =>
2,633/15 = (175 × 15 + 8)/15 = 175 + 8/15 = 175 8/15
Jul 02 22:58 UTC (GMT)
70/49 = (70 ÷ 7)/(49 ÷ 7) = 10/7
Improper fraction, rewrite it as a mixed number:
10 ÷ 7 = 1 and remainder = 3 =>
10/7 = (1 × 7 + 3)/7 = 1 + 3/7 = 1 3/7
Jul 02 22:58 UTC (GMT)
47/1,800 already reduced (simplified) Jul 02 22:58 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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