How to reduce (simplify) the common fraction 120/1 to its simplest equivalent form, irreducible? Result written as an improper fraction, as an integer 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:


120 = 23 × 3 × 5


1 cannot be factored into other prime factors

Calculate the prime factors of numbers, online calculator


Calculate the greatest common factor, GCF:

Multiply all the common prime factors, by the lowest exponents.


But, the numerator and the denominator have no common factors.


gcf (23 × 3 × 5; 1) = 1

Calculate the greatest common factor, GCF, online calculator


The numerator and the denominator of the fraction are coprime numbers (no common prime factors, GCF = 1), the fraction cannot be reduced (simplified): irreducible fraction.

Rewrite the fraction

As a positive improper fraction (numerator > denominator):

120 = 120/1

As a percentage:

120 =


120 × 100/100 =


(120 × 100)/100 =


12,000/100 =


12,000%

Convert fractions to percentages, online calculator


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

As a positive improper fraction (numerator > denominator):
120/1 = 120/1

As an positive integer number:
120/1 = 120

As a percentage:
120/1 = 12,000%

How to reduce (simplify) the common fraction: 129/4?


Symbols: / fraction bar; × multiply; = equal;

Reduce (simplify) ordinary fractions, online calculator

The latest fractions reduced to the lowest terms

120/1 already reduced (simplified) = 120 Jul 02 18:53 UTC (GMT)
1,319/210 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
1,319 ÷ 210 = 6 and remainder = 59 =>
1,319/210 = (6 × 210 + 59)/210 = 6 + 59/210 = 6 59/210
Jul 02 18:53 UTC (GMT)
882/3,521 = (882 ÷ 7)/(3,521 ÷ 7) = 126/503 Jul 02 18:53 UTC (GMT)
432/4,686 = (432 ÷ 6)/(4,686 ÷ 6) = 72/781 Jul 02 18:53 UTC (GMT)
17/78 already reduced (simplified) Jul 02 18:53 UTC (GMT)
2,879/126 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
2,879 ÷ 126 = 22 and remainder = 107 =>
2,879/126 = (22 × 126 + 107)/126 = 22 + 107/126 = 22 107/126
Jul 02 18:53 UTC (GMT)
900/800 = (900 ÷ 100)/(800 ÷ 100) = 9/8
Improper fraction, rewrite it as a mixed number:
9 ÷ 8 = 1 and remainder = 1 =>
9/8 = (1 × 8 + 1)/8 = 1 + 1/8 = 1 1/8
Jul 02 18:53 UTC (GMT)
657/34 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
657 ÷ 34 = 19 and remainder = 11 =>
657/34 = (19 × 34 + 11)/34 = 19 + 11/34 = 19 11/34
Jul 02 18:53 UTC (GMT)
37/200 already reduced (simplified) Jul 02 18:53 UTC (GMT)
20/24 = (20 ÷ 4)/(24 ÷ 4) = 5/6 Jul 02 18:53 UTC (GMT)
900/800 = (900 ÷ 100)/(800 ÷ 100) = 9/8
Improper fraction, rewrite it as a mixed number:
9 ÷ 8 = 1 and remainder = 1 =>
9/8 = (1 × 8 + 1)/8 = 1 + 1/8 = 1 1/8
Jul 02 18:52 UTC (GMT)
4,060/27 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
4,060 ÷ 27 = 150 and remainder = 10 =>
4,060/27 = (150 × 27 + 10)/27 = 150 + 10/27 = 150 10/27
Jul 02 18:52 UTC (GMT)
28/162 = (28 ÷ 2)/(162 ÷ 2) = 14/81 Jul 02 18:52 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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