How to reduce (simplify) the common fraction - 9/153 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:


9 = 32


153 = 32 × 17

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 (32; 32 × 17) = 32

Calculate the greatest common factor, GCF, online calculator


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

- 9/153 =


- 9/153 =


- 32/(32 × 17) =


- (32 ÷ 32) / ((32 × 17) ÷ 32) =


- 1/17

Rewrite the end result:

As a decimal number:

- 1/17 =


- 1 ÷ 17 =


- 0.058823529412 ≈


- 0.06

As a percentage:

- 0.058823529412 =


- 0.058823529412 × 100/100 =


- 5.882352941177/100 =


- 5.882352941177% ≈


- 5.88%

Convert fractions to percentages, online calculator


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

As a negative proper fraction
(|numerator| < |denominator|):
- 9/153 = - 1/17

As a decimal number:
- 9/153 - 0.06

As a percentage:
- 9/153 - 5.88%

How to reduce (simplify) the common fraction: - 2/156?


Writing numbers: point '.' used as a decimal mark; two vertical bars surrounding a number, |n|, is the symbol for the absolute value of that number;

Symbols: / fraction bar; ÷ divide; × multiply; - minus; ≈ approximation; = equal;

Reduce (simplify) ordinary fractions, online calculator

The latest fractions reduced to the lowest terms

- 9/153 = - (9 ÷ 9)/(153 ÷ 9) = - 1/17 Jul 04 09:08 UTC (GMT)
150/6 = (150 ÷ 6)/(6 ÷ 6) = 25/1 = 25 Jul 04 09:08 UTC (GMT)
4,078/261 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
4,078 ÷ 261 = 15 and remainder = 163 =>
4,078/261 = (15 × 261 + 163)/261 = 15 + 163/261 = 15 163/261
Jul 04 09:08 UTC (GMT)
630/5 = (630 ÷ 5)/(5 ÷ 5) = 126/1 = 126 Jul 04 09:08 UTC (GMT)
1/30,000 already reduced (simplified) Jul 04 09:08 UTC (GMT)
1,577/12 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
1,577 ÷ 12 = 131 and remainder = 5 =>
1,577/12 = (131 × 12 + 5)/12 = 131 + 5/12 = 131 5/12
Jul 04 09:08 UTC (GMT)
22/82 = (22 ÷ 2)/(82 ÷ 2) = 11/41 Jul 04 09:08 UTC (GMT)
96/24 = (96 ÷ 24)/(24 ÷ 24) = 4/1 = 4 Jul 04 09:07 UTC (GMT)
90/25 = (90 ÷ 5)/(25 ÷ 5) = 18/5
Improper fraction, rewrite it as a mixed number:
18 ÷ 5 = 3 and remainder = 3 =>
18/5 = (3 × 5 + 3)/5 = 3 + 3/5 = 3 3/5
Jul 04 09:07 UTC (GMT)
529/128 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
529 ÷ 128 = 4 and remainder = 17 =>
529/128 = (4 × 128 + 17)/128 = 4 + 17/128 = 4 17/128
Jul 04 09:07 UTC (GMT)
59/17 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
59 ÷ 17 = 3 and remainder = 8 =>
59/17 = (3 × 17 + 8)/17 = 3 + 8/17 = 3 8/17
Jul 04 09:07 UTC (GMT)
357/160 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
357 ÷ 160 = 2 and remainder = 37 =>
357/160 = (2 × 160 + 37)/160 = 2 + 37/160 = 2 37/160
Jul 04 09:07 UTC (GMT)
77/90 already reduced (simplified) Jul 04 09:07 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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