How to reduce (simplify) the common fraction 34/33 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:

34 = 2 × 17


33 = 3 × 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 (2 × 17; 3 × 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.

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.


34 ÷ 33 = 1 and remainder = 1 =>


34 = 1 × 33 + 1 =>


34/33 =


(1 × 33 + 1) / 33 =


1 + 1/33 =


1/33

As a decimal number:

1/33 =


1 + 1/33 =


1 + 1 ÷ 33 =


1.030303030303 ≈


1.03

As a percentage:

1.030303030303 =


1.030303030303 × 100/100 =


103.030303030303/100 =


103.030303030303% ≈


103.03%

Convert fractions to percentages, online calculator


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

As a positive improper fraction (numerator > denominator):
34/33 = 34/33

As a mixed number
(a whole number and a proper fraction, of the same sign):
34/33 = 1/33

As a decimal number:
34/331.03

As a percentage:
34/33103.03%

How to reduce (simplify) the common fraction: 40/42?


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

3,839/17 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
3,839 ÷ 17 = 225 and remainder = 14 =>
3,839/17 = (225 × 17 + 14)/17 = 225 + 14/17 = 225 14/17
Aug 11 10:13 UTC (GMT)
1,412/78 = (1,412 ÷ 2)/(78 ÷ 2) = 706/39
Improper fraction, rewrite it as a mixed number:
706 ÷ 39 = 18 and remainder = 4 =>
706/39 = (18 × 39 + 4)/39 = 18 + 4/39 = 18 4/39
Aug 11 10:13 UTC (GMT)
34/33 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
34 ÷ 33 = 1 and remainder = 1 =>
34/33 = (1 × 33 + 1)/33 = 1 + 1/33 = 1 1/33
Aug 11 10:13 UTC (GMT)
274/25 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
274 ÷ 25 = 10 and remainder = 24 =>
274/25 = (10 × 25 + 24)/25 = 10 + 24/25 = 10 24/25
Aug 11 10:13 UTC (GMT)
608/6 = (608 ÷ 2)/(6 ÷ 2) = 304/3
Improper fraction, rewrite it as a mixed number:
304 ÷ 3 = 101 and remainder = 1 =>
304/3 = (101 × 3 + 1)/3 = 101 + 1/3 = 101 1/3
Aug 11 10:13 UTC (GMT)
2,322/28 = (2,322 ÷ 2)/(28 ÷ 2) = 1,161/14
Improper fraction, rewrite it as a mixed number:
1,161 ÷ 14 = 82 and remainder = 13 =>
1,161/14 = (82 × 14 + 13)/14 = 82 + 13/14 = 82 13/14
Aug 11 10:13 UTC (GMT)
1,728/248,832 = (1,728 ÷ 1,728)/(248,832 ÷ 1,728) = 1/144 Aug 11 10:13 UTC (GMT)
935/84 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
935 ÷ 84 = 11 and remainder = 11 =>
935/84 = (11 × 84 + 11)/84 = 11 + 11/84 = 11 11/84
Aug 11 10:13 UTC (GMT)
- 7/110 already reduced (simplified) Aug 11 10:13 UTC (GMT)
91/22 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
91 ÷ 22 = 4 and remainder = 3 =>
91/22 = (4 × 22 + 3)/22 = 4 + 3/22 = 4 3/22
Aug 11 10:13 UTC (GMT)
655/356 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
655 ÷ 356 = 1 and remainder = 299 =>
655/356 = (1 × 356 + 299)/356 = 1 + 299/356 = 1 299/356
Aug 11 10:13 UTC (GMT)
- 98/96 = - (98 ÷ 2)/(96 ÷ 2) = - 49/48
Improper fraction, rewrite it as a mixed number:
- 49 ÷ 48 = - 1 and remainder = - 1 =>
- 49/48 = ( - 1 × 48 - 1)/48 = - 1 - 1/48 = - 1 1/48
Aug 11 10:13 UTC (GMT)
139/25 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
139 ÷ 25 = 5 and remainder = 14 =>
139/25 = (5 × 25 + 14)/25 = 5 + 14/25 = 5 14/25
Aug 11 10:13 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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