How to reduce (simplify) the common fraction 4,700/36 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:

in the notation with exponents:


4,700 = 22 × 52 × 47


36 = 22 × 32

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 × 52 × 47; 22 × 32) = 22

Calculate the greatest common factor, GCF, online calculator


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

4,700/36 =


(22 × 52 × 47)/(22 × 32) =


((22 × 52 × 47) ÷ 22) / ((22 × 32) ÷ 22) =


(52 × 47)/32 =


1,175/9

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.


1,175 ÷ 9 = 130 and remainder = 5 =>


1,175 = 130 × 9 + 5 =>


1,175/9 =


(130 × 9 + 5) / 9 =


130 + 5/9 =


130 5/9

As a decimal number:

130 5/9 =


130 + 5/9 =


130 + 5 ÷ 9 =


130.555555555556 ≈


130.56

As a percentage:

130.555555555556 =


130.555555555556 × 100/100 =


13,055.555555555556/100 =


13,055.555555555556% ≈


13,055.56%

Convert fractions to percentages, online calculator


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

As a positive improper fraction (numerator > denominator):
4,700/36 = 1,175/9

As a mixed number
(a whole number and a proper fraction, of the same sign):
4,700/36 = 130 5/9

As a decimal number:
4,700/36130.56

As a percentage:
4,700/3613,055.56%

How to reduce (simplify) the common fraction: 4,706/41?


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

4,700/36 = (4,700 ÷ 4)/(36 ÷ 4) = 1,175/9
Improper fraction, rewrite it as a mixed number:
1,175 ÷ 9 = 130 and remainder = 5 =>
1,175/9 = (130 × 9 + 5)/9 = 130 + 5/9 = 130 5/9
Sep 24 03:07 UTC (GMT)
792/98 = (792 ÷ 2)/(98 ÷ 2) = 396/49
Improper fraction, rewrite it as a mixed number:
396 ÷ 49 = 8 and remainder = 4 =>
396/49 = (8 × 49 + 4)/49 = 8 + 4/49 = 8 4/49
Sep 24 03:07 UTC (GMT)
- 12/5 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
- 12 ÷ 5 = - 2 and remainder = - 2 =>
- 12/5 = ( - 2 × 5 - 2)/5 = - 2 - 2/5 = - 2 2/5
Sep 24 03:07 UTC (GMT)
3,683/90 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
3,683 ÷ 90 = 40 and remainder = 83 =>
3,683/90 = (40 × 90 + 83)/90 = 40 + 83/90 = 40 83/90
Sep 24 03:07 UTC (GMT)
270/4 = (270 ÷ 2)/(4 ÷ 2) = 135/2
Improper fraction, rewrite it as a mixed number:
135 ÷ 2 = 67 and remainder = 1 =>
135/2 = (67 × 2 + 1)/2 = 67 + 1/2 = 67 1/2
Sep 24 03:07 UTC (GMT)
- 11/6 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
- 11 ÷ 6 = - 1 and remainder = - 5 =>
- 11/6 = ( - 1 × 6 - 5)/6 = - 1 - 5/6 = - 1 5/6
Sep 24 03:07 UTC (GMT)
2,346/21 = (2,346 ÷ 3)/(21 ÷ 3) = 782/7
Improper fraction, rewrite it as a mixed number:
782 ÷ 7 = 111 and remainder = 5 =>
782/7 = (111 × 7 + 5)/7 = 111 + 5/7 = 111 5/7
Sep 24 03:07 UTC (GMT)
420/616 = (420 ÷ 28)/(616 ÷ 28) = 15/22 Sep 24 03:07 UTC (GMT)
- 1,094/722 = - (1,094 ÷ 2)/(722 ÷ 2) = - 547/361
Improper fraction, rewrite it as a mixed number:
- 547 ÷ 361 = - 1 and remainder = - 186 =>
- 547/361 = ( - 1 × 361 - 186)/361 = - 1 - 186/361 = - 1 186/361
Sep 24 03:07 UTC (GMT)
4,227/223 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
4,227 ÷ 223 = 18 and remainder = 213 =>
4,227/223 = (18 × 223 + 213)/223 = 18 + 213/223 = 18 213/223
Sep 24 03:07 UTC (GMT)
343/34 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
343 ÷ 34 = 10 and remainder = 3 =>
343/34 = (10 × 34 + 3)/34 = 10 + 3/34 = 10 3/34
Sep 24 03:07 UTC (GMT)
- 12/5 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
- 12 ÷ 5 = - 2 and remainder = - 2 =>
- 12/5 = ( - 2 × 5 - 2)/5 = - 2 - 2/5 = - 2 2/5
Sep 24 03:07 UTC (GMT)
0/5 = 0 Sep 24 03:07 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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