How to reduce (simplify) to lowest terms ordinary (common) math fraction 9/11?

To reduce a fraction, divide both its numerator and denominator by their greatest common factor, GCF.

Calculate the greatest (highest) common factor (divisor), gcf, hcf, gcd.

Integer numbers prime factorization:


9 = 32;


11 is a prime number, it cannot be broken down to other prime factors;


Multiply all the common prime factors, by the lowest exponents.
But the two numbers have no common prime factors.


gcf, hcf, gcd (9; 11) = 1;


coprime numbers (relatively prime);

Calculate the greatest (highest) common factor (divisor), gcf, hcf, gcd

Fraction's numerator and denominator are coprime numbers (no common prime factors). Fraction cannot be reduced (simplified) - irreducible.

Rewrite the fraction:

As a decimal number:

9/11 =
9 ÷ 11 =
0.818181818182
0.82

As a percentage:

0.818181818182 =
0.818181818182 × 100/100 =
81.818181818182/100 =
81.818181818182% ≈
81.82%

Final answer:
:: written in three ways ::

As a proper fraction
(numerator smaller than denominator):
9/11 = 9/11

As a decimal number:
9/110.82

As a percentage:
9/1181.82%

How to reduce (simplify) fraction 9/72 = ? ... 11/9 = ?

Online calculator: reduce (simplify) fractions

Latest reduced (simplified) fractions

9/11 already reduced (simplified) to lowest terms Feb 25 06:40 UTC (GMT)
219/365 = (219 ÷ 73)/(365 ÷ 73) = 3/5 Feb 25 06:40 UTC (GMT)
156/104 = (156 ÷ 52)/(104 ÷ 52) = 3/2;
3 > 2 => improper fraction

Rewrite:
3 ÷ 2 = 1 and remainder = 1 =>
3/2 = (1 × 2 + 1)/2 = 1 + 1/2 =
= 1 1/2, mixed number (mixed fraction)
Feb 25 06:40 UTC (GMT)
3/32 already reduced (simplified) to lowest terms Feb 25 06:40 UTC (GMT)
32/117 already reduced (simplified) to lowest terms Feb 25 06:40 UTC (GMT)
1,836/126 = (1,836 ÷ 18)/(126 ÷ 18) = 102/7;
102 > 7 => improper fraction

Rewrite:
102 ÷ 7 = 14 and remainder = 4 =>
102/7 = (14 × 7 + 4)/7 = 14 + 4/7 =
= 14 4/7, mixed number (mixed fraction)
Feb 25 06:40 UTC (GMT)
475/6,744 already reduced (simplified) to lowest terms Feb 25 06:40 UTC (GMT)
237/545 already reduced (simplified) to lowest terms Feb 25 06:40 UTC (GMT)
661/3 already reduced (simplified) to lowest terms
661 > 3 => improper fraction

Rewrite:
661 ÷ 3 = 220 and remainder = 1 =>
661/3 = (220 × 3 + 1)/3 = 220 + 1/3 =
= 220 1/3, mixed number (mixed fraction)
Feb 25 06:40 UTC (GMT)
969/48 = (969 ÷ 3)/(48 ÷ 3) = 323/16;
323 > 16 => improper fraction

Rewrite:
323 ÷ 16 = 20 and remainder = 3 =>
323/16 = (20 × 16 + 3)/16 = 20 + 3/16 =
= 20 3/16, mixed number (mixed fraction)
Feb 25 06:40 UTC (GMT)
50/60 = (50 ÷ 10)/(60 ÷ 10) = 5/6 Feb 25 06:40 UTC (GMT)
202/910 = (202 ÷ 2)/(910 ÷ 2) = 101/455 Feb 25 06:40 UTC (GMT)
4,562/1,246 = (4,562 ÷ 2)/(1,246 ÷ 2) = 2,281/623;
2,281 > 623 => improper fraction

Rewrite:
2,281 ÷ 623 = 3 and remainder = 412 =>
2,281/623 = (3 × 623 + 412)/623 = 3 + 412/623 =
= 3 412/623, mixed number (mixed fraction)
Feb 25 06:40 UTC (GMT)
reduced fractions, see more...

Tutoring: simplifying ordinary math fractions (reducing to the lowest terms)

Steps to simplify an ordinary fraction, to reduce it to its lowest terms:

  • 1) Factor both the numerator and the denominator of the fraction into prime factors.
  • 2) Calculate the greatest common factor, GCF (or the greatest common divisor, GCD) of the fraction's numerator and denominator.
  • 3) Divide both the numerator and the denominator of the fraction by the greatest common factor, GCF (GCD).
  • In conclusion: the fraction thus obtained is called a reduced fraction or a fraction simplified to its lowest terms.
  • A fraction reduced to its lowest terms cannot be further reduced and it is called an irreducible fraction.

Read the full article >> Simplifying ordinary (common) math fractions (reducing to lower terms): steps to follow and examples


Why reducing (simplifying) fractions to lower terms?

  • When running operations with fractions we are often required to bring them to the same denominator, for example when adding, subtracting or comparing.
  • Sometimes both the numerators and the denominators of those fractions are large numbers and doing calculations with such numbers could be difficult.
  • By simplifying (reducing) a fraction, both the numerator and denominator of a fraction are reduced to smaller values. Well, these values are much easier to work with, reducing the overall effort of working with fractions.

What is a prime number?

What is a composite number?

Prime numbers up to 1,000

Prime numbers up to 10,000

Sieve of Eratosthenes

Euclid's algorithm

Simplifying ordinary (common) math fractions (reducing to lower terms): steps to follow and examples