How to reduce (simplify) the common fraction 4/28 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:

in the notation with exponents:


4 = 22


28 = 22 × 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 (22; 22 × 7) = 22

Calculate the greatest common factor, GCF, online calculator


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

4/28 =


22/(22 × 7) =


(22 ÷ 22) / ((22 × 7) ÷ 22) =


1/7

Rewrite the end result:

As a decimal number:

1/7 =


1 ÷ 7 =


0.142857142857 ≈


0.14

As a percentage:

0.142857142857 =


0.142857142857 × 100/100 =


14.285714285714/100 =


14.285714285714% ≈


14.29%

Convert fractions to percentages, online calculator


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

As a positive proper fraction
(numerator < denominator):
4/28 = 1/7

As a decimal number:
4/280.14

As a percentage:
4/2814.29%

How to reduce (simplify) the common fraction: 6/30?


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

4/28 = (4 ÷ 4)/(28 ÷ 4) = 1/7 Jul 02 19:39 UTC (GMT)
1,502/42 = (1,502 ÷ 2)/(42 ÷ 2) = 751/21
Improper fraction, rewrite it as a mixed number:
751 ÷ 21 = 35 and remainder = 16 =>
751/21 = (35 × 21 + 16)/21 = 35 + 16/21 = 35 16/21
Jul 02 19:39 UTC (GMT)
1,502/42 = (1,502 ÷ 2)/(42 ÷ 2) = 751/21
Improper fraction, rewrite it as a mixed number:
751 ÷ 21 = 35 and remainder = 16 =>
751/21 = (35 × 21 + 16)/21 = 35 + 16/21 = 35 16/21
Jul 02 19:39 UTC (GMT)
1,502/42 = (1,502 ÷ 2)/(42 ÷ 2) = 751/21
Improper fraction, rewrite it as a mixed number:
751 ÷ 21 = 35 and remainder = 16 =>
751/21 = (35 × 21 + 16)/21 = 35 + 16/21 = 35 16/21
Jul 02 19:39 UTC (GMT)
- 77/80 already reduced (simplified) Jul 02 19:39 UTC (GMT)
75/1,000 = (75 ÷ 25)/(1,000 ÷ 25) = 3/40 Jul 02 19:39 UTC (GMT)
83/10 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
83 ÷ 10 = 8 and remainder = 3 =>
83/10 = (8 × 10 + 3)/10 = 8 + 3/10 = 8 3/10
Jul 02 19:39 UTC (GMT)
400/1,063 already reduced (simplified) Jul 02 19:39 UTC (GMT)
2,841/81 = (2,841 ÷ 3)/(81 ÷ 3) = 947/27
Improper fraction, rewrite it as a mixed number:
947 ÷ 27 = 35 and remainder = 2 =>
947/27 = (35 × 27 + 2)/27 = 35 + 2/27 = 35 2/27
Jul 02 19:39 UTC (GMT)
53/60 already reduced (simplified) Jul 02 19:39 UTC (GMT)
242/3,437 already reduced (simplified) Jul 02 19:39 UTC (GMT)
34/295 already reduced (simplified) Jul 02 19:39 UTC (GMT)
2,282/56 = (2,282 ÷ 14)/(56 ÷ 14) = 163/4
Improper fraction, rewrite it as a mixed number:
163 ÷ 4 = 40 and remainder = 3 =>
163/4 = (40 × 4 + 3)/4 = 40 + 3/4 = 40 3/4
Jul 02 19:39 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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