How to reduce (simplify) the common fraction 3,472/8 to its simplest equivalent form, irreducible? Result written as an improper fraction, as an integer 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:


3,472 = 24 × 7 × 31


8 = 23

Calculate the prime factors of numbers, online calculator


Calculate the greatest common factor, GCF:

Multiply all the common prime factors, by the lowest exponents.


gcf (24 × 7 × 31; 23) = 23

Calculate the greatest common factor, GCF, online calculator


Divide both the numerator and the denominator by their greatest common factor, GCF:

3,472/8 =


(24 × 7 × 31)/23 =


((24 × 7 × 31) ÷ 23) / (23 ÷ 23) =


(2 × 7 × 31)/1 =


(2 × 7 × 31) =


434

Rewrite the fraction

As a positive improper fraction (numerator > denominator):

434 = 434/1

As a percentage:

434 =


434 × 100/100 =


(434 × 100)/100 =


43,400/100 =


43,400%

Convert fractions to percentages, online calculator


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

As a positive improper fraction (numerator > denominator):
3,472/8 = 434/1

As an positive integer number:
3,472/8 = 434

As a percentage:
3,472/8 = 43,400%

How to reduce (simplify) the common fraction: 3,479/16?


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

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

Reduce (simplify) ordinary fractions, online calculator

The latest fractions reduced to the lowest terms

3,472/8 = (3,472 ÷ 8)/(8 ÷ 8) = 434/1 = 434 Jul 04 10:05 UTC (GMT)
206/26 = (206 ÷ 2)/(26 ÷ 2) = 103/13
Improper fraction, rewrite it as a mixed number:
103 ÷ 13 = 7 and remainder = 12 =>
103/13 = (7 × 13 + 12)/13 = 7 + 12/13 = 7 12/13
Jul 04 10:05 UTC (GMT)
4,027/527 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
4,027 ÷ 527 = 7 and remainder = 338 =>
4,027/527 = (7 × 527 + 338)/527 = 7 + 338/527 = 7 338/527
Jul 04 10:05 UTC (GMT)
80/400 = (80 ÷ 80)/(400 ÷ 80) = 1/5 Jul 04 10:05 UTC (GMT)
3/13 already reduced (simplified) Jul 04 10:05 UTC (GMT)
3,460/42 = (3,460 ÷ 2)/(42 ÷ 2) = 1,730/21
Improper fraction, rewrite it as a mixed number:
1,730 ÷ 21 = 82 and remainder = 8 =>
1,730/21 = (82 × 21 + 8)/21 = 82 + 8/21 = 82 8/21
Jul 04 10:05 UTC (GMT)
3,642/168 = (3,642 ÷ 6)/(168 ÷ 6) = 607/28
Improper fraction, rewrite it as a mixed number:
607 ÷ 28 = 21 and remainder = 19 =>
607/28 = (21 × 28 + 19)/28 = 21 + 19/28 = 21 19/28
Jul 04 10:05 UTC (GMT)
5/ - 8 already reduced (simplified) Jul 04 10:05 UTC (GMT)
- 180/100 = - (180 ÷ 20)/(100 ÷ 20) = - 9/5
Improper fraction, rewrite it as a mixed number:
- 9 ÷ 5 = - 1 and remainder = - 4 =>
- 9/5 = ( - 1 × 5 - 4)/5 = - 1 - 4/5 = - 1 4/5
Jul 04 10:05 UTC (GMT)
596/4,083 already reduced (simplified) Jul 04 10:05 UTC (GMT)
495/796 already reduced (simplified) Jul 04 10:05 UTC (GMT)
89/6 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
89 ÷ 6 = 14 and remainder = 5 =>
89/6 = (14 × 6 + 5)/6 = 14 + 5/6 = 14 5/6
Jul 04 10:05 UTC (GMT)
450/534 = (450 ÷ 6)/(534 ÷ 6) = 75/89 Jul 04 10:05 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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