How to reduce (simplify) the common fraction 36/8 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:


36 = 22 × 32


8 = 23

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 × 32; 23) = 22

Calculate the greatest common factor, GCF, online calculator


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

36/8 =


(22 × 32)/23 =


((22 × 32) ÷ 22) / (23 ÷ 22) =


32/2 =


9/2

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.


9 ÷ 2 = 4 and remainder = 1 =>


9 = 4 × 2 + 1 =>


9/2 =


(4 × 2 + 1) / 2 =


4 + 1/2 =


1/2

As a decimal number:

1/2 =


4 + 1/2 =


4 + 1 ÷ 2 =


4.5

As a percentage:

4.5 =


4.5 × 100/100 =


450/100 =


450%

Convert fractions to percentages, online calculator


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

As a positive improper fraction (numerator > denominator):
36/8 = 9/2

As a mixed number
(a whole number and a proper fraction, of the same sign):
36/8 = 1/2

As a decimal number:
36/8 = 4.5

As a percentage:
36/8 = 450%

How to reduce (simplify) the common fraction: 38/17?


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

36/8 = (36 ÷ 4)/(8 ÷ 4) = 9/2
Improper fraction, rewrite it as a mixed number:
9 ÷ 2 = 4 and remainder = 1 =>
9/2 = (4 × 2 + 1)/2 = 4 + 1/2 = 4 1/2
Jul 04 08:30 UTC (GMT)
- 23/16 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
- 23 ÷ 16 = - 1 and remainder = - 7 =>
- 23/16 = ( - 1 × 16 - 7)/16 = - 1 - 7/16 = - 1 7/16
Jul 04 08:30 UTC (GMT)
- 245/8 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
- 245 ÷ 8 = - 30 and remainder = - 5 =>
- 245/8 = ( - 30 × 8 - 5)/8 = - 30 - 5/8 = - 30 5/8
Jul 04 08:30 UTC (GMT)
598/628 = (598 ÷ 2)/(628 ÷ 2) = 299/314 Jul 04 08:30 UTC (GMT)
597/633 = (597 ÷ 3)/(633 ÷ 3) = 199/211 Jul 04 08:30 UTC (GMT)
36/64 = (36 ÷ 4)/(64 ÷ 4) = 9/16 Jul 04 08:30 UTC (GMT)
2,506/17 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
2,506 ÷ 17 = 147 and remainder = 7 =>
2,506/17 = (147 × 17 + 7)/17 = 147 + 7/17 = 147 7/17
Jul 04 08:29 UTC (GMT)
50/42 = (50 ÷ 2)/(42 ÷ 2) = 25/21
Improper fraction, rewrite it as a mixed number:
25 ÷ 21 = 1 and remainder = 4 =>
25/21 = (1 × 21 + 4)/21 = 1 + 4/21 = 1 4/21
Jul 04 08:29 UTC (GMT)
4,108/66 = (4,108 ÷ 2)/(66 ÷ 2) = 2,054/33
Improper fraction, rewrite it as a mixed number:
2,054 ÷ 33 = 62 and remainder = 8 =>
2,054/33 = (62 × 33 + 8)/33 = 62 + 8/33 = 62 8/33
Jul 04 08:29 UTC (GMT)
4/60 = (4 ÷ 4)/(60 ÷ 4) = 1/15 Jul 04 08:29 UTC (GMT)
3/216 = (3 ÷ 3)/(216 ÷ 3) = 1/72 Jul 04 08:29 UTC (GMT)
184/4,048 = (184 ÷ 184)/(4,048 ÷ 184) = 1/22 Jul 04 08:29 UTC (GMT)
220/221 already reduced (simplified) Jul 04 08:29 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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