How to reduce (simplify) the common fraction 427/35 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:

427 = 7 × 61


35 = 5 × 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 (7 × 61; 5 × 7) = 7

Calculate the greatest common factor, GCF, online calculator


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

427/35 =


(7 × 61)/(5 × 7) =


((7 × 61) ÷ 7) / ((5 × 7) ÷ 7) =


61/5

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.


61 ÷ 5 = 12 and remainder = 1 =>


61 = 12 × 5 + 1 =>


61/5 =


(12 × 5 + 1) / 5 =


12 + 1/5 =


12 1/5

As a decimal number:

12 1/5 =


12 + 1/5 =


12 + 1 ÷ 5 =


12.2

As a percentage:

12.2 =


12.2 × 100/100 =


1,220/100 =


1,220%

Convert fractions to percentages, online calculator


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

As a positive improper fraction (numerator > denominator):
427/35 = 61/5

As a mixed number
(a whole number and a proper fraction, of the same sign):
427/35 = 12 1/5

As a decimal number:
427/35 = 12.2

As a percentage:
427/35 = 1,220%

How to reduce (simplify) the common fraction: 434/38?


Writing numbers: point '.' used as a decimal mark;

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

Reduce (simplify) ordinary fractions, online calculator

The latest fractions reduced to the lowest terms

427/35 = (427 ÷ 7)/(35 ÷ 7) = 61/5
Improper fraction, rewrite it as a mixed number:
61 ÷ 5 = 12 and remainder = 1 =>
61/5 = (12 × 5 + 1)/5 = 12 + 1/5 = 12 1/5
Jun 06 20:08 UTC (GMT)
18/ - 2 = - (18 ÷ 2)/(2 ÷ 2) = - 9/1 = - 9 Jun 06 20:07 UTC (GMT)
125/124 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
125 ÷ 124 = 1 and remainder = 1 =>
125/124 = (1 × 124 + 1)/124 = 1 + 1/124 = 1 1/124
Jun 06 20:07 UTC (GMT)
120/75 = (120 ÷ 15)/(75 ÷ 15) = 8/5
Improper fraction, rewrite it as a mixed number:
8 ÷ 5 = 1 and remainder = 3 =>
8/5 = (1 × 5 + 3)/5 = 1 + 3/5 = 1 3/5
Jun 06 20:07 UTC (GMT)
108/120 = (108 ÷ 12)/(120 ÷ 12) = 9/10 Jun 06 20:07 UTC (GMT)
6/100 = (6 ÷ 2)/(100 ÷ 2) = 3/50 Jun 06 20:07 UTC (GMT)
72/216 = (72 ÷ 72)/(216 ÷ 72) = 1/3 Jun 06 20:07 UTC (GMT)
- 22/7 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
- 22 ÷ 7 = - 3 and remainder = - 1 =>
- 22/7 = ( - 3 × 7 - 1)/7 = - 3 - 1/7 = - 3 1/7
Jun 06 20:07 UTC (GMT)
134/5 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
134 ÷ 5 = 26 and remainder = 4 =>
134/5 = (26 × 5 + 4)/5 = 26 + 4/5 = 26 4/5
Jun 06 20:07 UTC (GMT)
323/4 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
323 ÷ 4 = 80 and remainder = 3 =>
323/4 = (80 × 4 + 3)/4 = 80 + 3/4 = 80 3/4
Jun 06 20:07 UTC (GMT)
17/7 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
17 ÷ 7 = 2 and remainder = 3 =>
17/7 = (2 × 7 + 3)/7 = 2 + 3/7 = 2 3/7
Jun 06 20:07 UTC (GMT)
775/832 already reduced (simplified) Jun 06 20:07 UTC (GMT)
19/2 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
19 ÷ 2 = 9 and remainder = 1 =>
19/2 = (9 × 2 + 1)/2 = 9 + 1/2 = 9 1/2
Jun 06 20:07 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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