How to reduce (simplify) the common fraction 94/42 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:

94 = 2 × 47


42 = 2 × 3 × 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 × 47; 2 × 3 × 7) = 2

Calculate the greatest common factor, GCF, online calculator


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

94/42 =


(2 × 47)/(2 × 3 × 7) =


((2 × 47) ÷ 2) / ((2 × 3 × 7) ÷ 2) =


47/(3 × 7) =


47/21

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.


47 ÷ 21 = 2 and remainder = 5 =>


47 = 2 × 21 + 5 =>


47/21 =


(2 × 21 + 5) / 21 =


2 + 5/21 =


5/21

As a decimal number:

5/21 =


2 + 5/21 =


2 + 5 ÷ 21 =


2.238095238095 ≈


2.24

As a percentage:

2.238095238095 =


2.238095238095 × 100/100 =


223.809523809524/100 =


223.809523809524% ≈


223.81%

Convert fractions to percentages, online calculator


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

As a positive improper fraction (numerator > denominator):
94/42 = 47/21

As a mixed number
(a whole number and a proper fraction, of the same sign):
94/42 = 5/21

As a decimal number:
94/422.24

As a percentage:
94/42223.81%

How to reduce (simplify) the common fraction: 1,006/42?


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

94/42 = (94 ÷ 2)/(42 ÷ 2) = 47/21
Improper fraction, rewrite it as a mixed number:
47 ÷ 21 = 2 and remainder = 5 =>
47/21 = (2 × 21 + 5)/21 = 2 + 5/21 = 2 5/21
Oct 16 17:47 UTC (GMT)
57/13 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
57 ÷ 13 = 4 and remainder = 5 =>
57/13 = (4 × 13 + 5)/13 = 4 + 5/13 = 4 5/13
Oct 16 17:47 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
Oct 16 17:47 UTC (GMT)
547/44 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
547 ÷ 44 = 12 and remainder = 19 =>
547/44 = (12 × 44 + 19)/44 = 12 + 19/44 = 12 19/44
Oct 16 17:47 UTC (GMT)
20/4 = (20 ÷ 4)/(4 ÷ 4) = 5/1 = 5 Oct 16 17:47 UTC (GMT)
- 1/76 already reduced (simplified) Oct 16 17:47 UTC (GMT)
60/121 already reduced (simplified) Oct 16 17:47 UTC (GMT)
38/7 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
38 ÷ 7 = 5 and remainder = 3 =>
38/7 = (5 × 7 + 3)/7 = 5 + 3/7 = 5 3/7
Oct 16 17:47 UTC (GMT)
40/4,034 = (40 ÷ 2)/(4,034 ÷ 2) = 20/2,017 Oct 16 17:47 UTC (GMT)
72/100 = (72 ÷ 4)/(100 ÷ 4) = 18/25 Oct 16 17:47 UTC (GMT)
24/20 = (24 ÷ 4)/(20 ÷ 4) = 6/5
Improper fraction, rewrite it as a mixed number:
6 ÷ 5 = 1 and remainder = 1 =>
6/5 = (1 × 5 + 1)/5 = 1 + 1/5 = 1 1/5
Oct 16 17:47 UTC (GMT)
93/74 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
93 ÷ 74 = 1 and remainder = 19 =>
93/74 = (1 × 74 + 19)/74 = 1 + 19/74 = 1 19/74
Oct 16 17:47 UTC (GMT)
24/4,065 = (24 ÷ 3)/(4,065 ÷ 3) = 8/1,355 Oct 16 17:47 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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