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: 96/47?


Writing numbers: 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
Aug 09 17:44 UTC (GMT)
2,855/847 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
2,855 ÷ 847 = 3 and remainder = 314 =>
2,855/847 = (3 × 847 + 314)/847 = 3 + 314/847 = 3 314/847
Aug 09 17:44 UTC (GMT)
456/13 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
456 ÷ 13 = 35 and remainder = 1 =>
456/13 = (35 × 13 + 1)/13 = 35 + 1/13 = 35 1/13
Aug 09 17:44 UTC (GMT)
314/ - 45 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
- 314 ÷ 45 = - 6 and remainder = - 44 =>
- 314/45 = ( - 6 × 45 - 44)/45 = - 6 - 44/45 = - 6 44/45
Aug 09 17:44 UTC (GMT)
746/42 = (746 ÷ 2)/(42 ÷ 2) = 373/21
Improper fraction, rewrite it as a mixed number:
373 ÷ 21 = 17 and remainder = 16 =>
373/21 = (17 × 21 + 16)/21 = 17 + 16/21 = 17 16/21
Aug 09 17:44 UTC (GMT)
336/2,374 = (336 ÷ 2)/(2,374 ÷ 2) = 168/1,187 Aug 09 17:44 UTC (GMT)
24/2,327 already reduced (simplified) Aug 09 17:44 UTC (GMT)
1,392/10 = (1,392 ÷ 2)/(10 ÷ 2) = 696/5
Improper fraction, rewrite it as a mixed number:
696 ÷ 5 = 139 and remainder = 1 =>
696/5 = (139 × 5 + 1)/5 = 139 + 1/5 = 139 1/5
Aug 09 17:44 UTC (GMT)
20/123 already reduced (simplified) Aug 09 17:44 UTC (GMT)
57/15 = (57 ÷ 3)/(15 ÷ 3) = 19/5
Improper fraction, rewrite it as a mixed number:
19 ÷ 5 = 3 and remainder = 4 =>
19/5 = (3 × 5 + 4)/5 = 3 + 4/5 = 3 4/5
Aug 09 17:44 UTC (GMT)
36/19 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
36 ÷ 19 = 1 and remainder = 17 =>
36/19 = (1 × 19 + 17)/19 = 1 + 17/19 = 1 17/19
Aug 09 17:44 UTC (GMT)
8/4,977 already reduced (simplified) Aug 09 17:44 UTC (GMT)
3,309/150 = (3,309 ÷ 3)/(150 ÷ 3) = 1,103/50
Improper fraction, rewrite it as a mixed number:
1,103 ÷ 50 = 22 and remainder = 3 =>
1,103/50 = (22 × 50 + 3)/50 = 22 + 3/50 = 22 3/50
Aug 09 17:43 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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