How to reduce (simplify) the common fraction 130/7 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:

130 = 2 × 5 × 13


7 is a prime number, it 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 (2 × 5 × 13; 7) = 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.

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.


130 ÷ 7 = 18 and remainder = 4 =>


130 = 18 × 7 + 4 =>


130/7 =


(18 × 7 + 4) / 7 =


18 + 4/7 =


18 4/7

As a decimal number:

18 4/7 =


18 + 4/7 =


18 + 4 ÷ 7 =


18.571428571429 ≈


18.57

As a percentage:

18.571428571429 =


18.571428571429 × 100/100 =


1,857.142857142857/100 =


1,857.142857142857% ≈


1,857.14%

Convert fractions to percentages, online calculator


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

As a positive improper fraction (numerator > denominator):
130/7 = 130/7

As a mixed number
(a whole number and a proper fraction, of the same sign):
130/7 = 18 4/7

As a decimal number:
130/718.57

As a percentage:
130/71,857.14%

How to reduce (simplify) the common fraction: 135/16?


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

130/7 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
130 ÷ 7 = 18 and remainder = 4 =>
130/7 = (18 × 7 + 4)/7 = 18 + 4/7 = 18 4/7
Jul 02 19:53 UTC (GMT)
597/3,221 already reduced (simplified) Jul 02 19:53 UTC (GMT)
9/108 = (9 ÷ 9)/(108 ÷ 9) = 1/12 Jul 02 19:52 UTC (GMT)
- 33/2 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
- 33 ÷ 2 = - 16 and remainder = - 1 =>
- 33/2 = ( - 16 × 2 - 1)/2 = - 16 - 1/2 = - 16 1/2
Jul 02 19:52 UTC (GMT)
16/3 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
16 ÷ 3 = 5 and remainder = 1 =>
16/3 = (5 × 3 + 1)/3 = 5 + 1/3 = 5 1/3
Jul 02 19:52 UTC (GMT)
16/3 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
16 ÷ 3 = 5 and remainder = 1 =>
16/3 = (5 × 3 + 1)/3 = 5 + 1/3 = 5 1/3
Jul 02 19:52 UTC (GMT)
4/3 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
4 ÷ 3 = 1 and remainder = 1 =>
4/3 = (1 × 3 + 1)/3 = 1 + 1/3 = 1 1/3
Jul 02 19:52 UTC (GMT)
12/15 = (12 ÷ 3)/(15 ÷ 3) = 4/5 Jul 02 19:52 UTC (GMT)
103/140 already reduced (simplified) Jul 02 19:52 UTC (GMT)
- 5/ - 8 already reduced (simplified) Jul 02 19:52 UTC (GMT)
12/400 = (12 ÷ 4)/(400 ÷ 4) = 3/100 Jul 02 19:52 UTC (GMT)
1,133/382 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
1,133 ÷ 382 = 2 and remainder = 369 =>
1,133/382 = (2 × 382 + 369)/382 = 2 + 369/382 = 2 369/382
Jul 02 19:52 UTC (GMT)
100/180 = (100 ÷ 20)/(180 ÷ 20) = 5/9 Jul 02 19:52 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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