How to reduce (simplify) the common fraction 10/14 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:

10 = 2 × 5


14 = 2 × 7

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 (2 × 5; 2 × 7) = 2

Calculate the greatest common factor, GCF, online calculator


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

10/14 =


(2 × 5)/(2 × 7) =


((2 × 5) ÷ 2) / ((2 × 7) ÷ 2) =


5/7

Rewrite the end result:

As a decimal number:

5/7 =


5 ÷ 7 =


0.714285714286 ≈


0.71

As a percentage:

0.714285714286 =


0.714285714286 × 100/100 =


71.428571428571/100 =


71.428571428571% ≈


71.43%

Convert fractions to percentages, online calculator


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

As a positive proper fraction
(numerator < denominator):
10/14 = 5/7

As a decimal number:
10/140.71

As a percentage:
10/1471.43%

How to reduce (simplify) the common fraction: 13/18?


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

10/14 = (10 ÷ 2)/(14 ÷ 2) = 5/7 Jul 02 19:36 UTC (GMT)
233/10 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
233 ÷ 10 = 23 and remainder = 3 =>
233/10 = (23 × 10 + 3)/10 = 23 + 3/10 = 23 3/10
Jul 02 19:36 UTC (GMT)
942/2,387 already reduced (simplified) Jul 02 19:36 UTC (GMT)
1,748/20 = (1,748 ÷ 4)/(20 ÷ 4) = 437/5
Improper fraction, rewrite it as a mixed number:
437 ÷ 5 = 87 and remainder = 2 =>
437/5 = (87 × 5 + 2)/5 = 87 + 2/5 = 87 2/5
Jul 02 19:36 UTC (GMT)
35/4 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
35 ÷ 4 = 8 and remainder = 3 =>
35/4 = (8 × 4 + 3)/4 = 8 + 3/4 = 8 3/4
Jul 02 19:36 UTC (GMT)
3,717/3,492 = (3,717 ÷ 9)/(3,492 ÷ 9) = 413/388
Improper fraction, rewrite it as a mixed number:
413 ÷ 388 = 1 and remainder = 25 =>
413/388 = (1 × 388 + 25)/388 = 1 + 25/388 = 1 25/388
Jul 02 19:36 UTC (GMT)
51/68 = (51 ÷ 17)/(68 ÷ 17) = 3/4 Jul 02 19:36 UTC (GMT)
2,356/100 = (2,356 ÷ 4)/(100 ÷ 4) = 589/25
Improper fraction, rewrite it as a mixed number:
589 ÷ 25 = 23 and remainder = 14 =>
589/25 = (23 × 25 + 14)/25 = 23 + 14/25 = 23 14/25
Jul 02 19:35 UTC (GMT)
91/12 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
91 ÷ 12 = 7 and remainder = 7 =>
91/12 = (7 × 12 + 7)/12 = 7 + 7/12 = 7 7/12
Jul 02 19:35 UTC (GMT)
252/100 = (252 ÷ 4)/(100 ÷ 4) = 63/25
Improper fraction, rewrite it as a mixed number:
63 ÷ 25 = 2 and remainder = 13 =>
63/25 = (2 × 25 + 13)/25 = 2 + 13/25 = 2 13/25
Jul 02 19:35 UTC (GMT)
83/23 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
83 ÷ 23 = 3 and remainder = 14 =>
83/23 = (3 × 23 + 14)/23 = 3 + 14/23 = 3 14/23
Jul 02 19:35 UTC (GMT)
- 1,189/542 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
- 1,189 ÷ 542 = - 2 and remainder = - 105 =>
- 1,189/542 = ( - 2 × 542 - 105)/542 = - 2 - 105/542 = - 2 105/542
Jul 02 19:35 UTC (GMT)
74/45 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
74 ÷ 45 = 1 and remainder = 29 =>
74/45 = (1 × 45 + 29)/45 = 1 + 29/45 = 1 29/45
Jul 02 19:35 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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