How to reduce (simplify) the common fraction 1/200 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:


1 cannot be factored into other prime factors


200 = 23 × 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 (1; 23 × 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.

Rewrite the fraction:

As a decimal number:

1/200 =


1 ÷ 200 =


0.005 ≈


0.01

As a percentage:

0.005 =


0.005 × 100/100 =


0.5/100 =


0.5%

Convert fractions to percentages, online calculator


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

As a positive proper fraction
(numerator < denominator):
1/200 = 1/200

As a decimal number:
1/2000.01

As a percentage:
1/200 = 0.5%

How to reduce (simplify) the common fraction: 8/205?


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

1/200 already reduced (simplified) Jul 06 23:07 UTC (GMT)
1,954/91 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
1,954 ÷ 91 = 21 and remainder = 43 =>
1,954/91 = (21 × 91 + 43)/91 = 21 + 43/91 = 21 43/91
Jul 06 23:07 UTC (GMT)
2,195/9 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
2,195 ÷ 9 = 243 and remainder = 8 =>
2,195/9 = (243 × 9 + 8)/9 = 243 + 8/9 = 243 8/9
Jul 06 23:07 UTC (GMT)
- 55/ - 6 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
55 ÷ 6 = 9 and remainder = 1 =>
55/6 = (9 × 6 + 1)/6 = 9 + 1/6 = 9 1/6
Jul 06 23:07 UTC (GMT)
3,996/44 = (3,996 ÷ 4)/(44 ÷ 4) = 999/11
Improper fraction, rewrite it as a mixed number:
999 ÷ 11 = 90 and remainder = 9 =>
999/11 = (90 × 11 + 9)/11 = 90 + 9/11 = 90 9/11
Jul 06 23:07 UTC (GMT)
385/48 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
385 ÷ 48 = 8 and remainder = 1 =>
385/48 = (8 × 48 + 1)/48 = 8 + 1/48 = 8 1/48
Jul 06 23:07 UTC (GMT)
275/224 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
275 ÷ 224 = 1 and remainder = 51 =>
275/224 = (1 × 224 + 51)/224 = 1 + 51/224 = 1 51/224
Jul 06 23:06 UTC (GMT)
87/8 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
87 ÷ 8 = 10 and remainder = 7 =>
87/8 = (10 × 8 + 7)/8 = 10 + 7/8 = 10 7/8
Jul 06 23:06 UTC (GMT)
3,379/9 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
3,379 ÷ 9 = 375 and remainder = 4 =>
3,379/9 = (375 × 9 + 4)/9 = 375 + 4/9 = 375 4/9
Jul 06 23:06 UTC (GMT)
100/2,159 already reduced (simplified) Jul 06 23:06 UTC (GMT)
1,400/961 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
1,400 ÷ 961 = 1 and remainder = 439 =>
1,400/961 = (1 × 961 + 439)/961 = 1 + 439/961 = 1 439/961
Jul 06 23:06 UTC (GMT)
56/60 = (56 ÷ 4)/(60 ÷ 4) = 14/15 Jul 06 23:06 UTC (GMT)
132/2,474 = (132 ÷ 2)/(2,474 ÷ 2) = 66/1,237 Jul 06 23:06 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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