How to reduce (simplify) the common fraction 11/10 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:

11 is a prime number, it cannot be factored into other prime factors


10 = 2 × 5

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 (11; 2 × 5) = 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.


11 ÷ 10 = 1 and remainder = 1 =>


11 = 1 × 10 + 1 =>


11/10 =


(1 × 10 + 1) / 10 =


1 + 1/10 =


1/10

As a decimal number:

1/10 =


1 + 1/10 =


1 + 1 ÷ 10 =


1.1

As a percentage:

1.1 =


1.1 × 100/100 =


110/100 =


110%

Convert fractions to percentages, online calculator


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

As a positive improper fraction (numerator > denominator):
11/10 = 11/10

As a mixed number
(a whole number and a proper fraction, of the same sign):
11/10 = 1/10

As a decimal number:
11/10 = 1.1

As a percentage:
11/10 = 110%

How to reduce (simplify) the common fraction: 16/15?


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

11/10 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
11 ÷ 10 = 1 and remainder = 1 =>
11/10 = (1 × 10 + 1)/10 = 1 + 1/10 = 1 1/10
Jun 03 23:21 UTC (GMT)
11/36 already reduced (simplified) Jun 03 23:21 UTC (GMT)
3/14 already reduced (simplified) Jun 03 23:20 UTC (GMT)
71/5 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
71 ÷ 5 = 14 and remainder = 1 =>
71/5 = (14 × 5 + 1)/5 = 14 + 1/5 = 14 1/5
Jun 03 23:20 UTC (GMT)
15/23 already reduced (simplified) Jun 03 23:19 UTC (GMT)
11/19 already reduced (simplified) Jun 03 23:19 UTC (GMT)
188/22 = (188 ÷ 2)/(22 ÷ 2) = 94/11
Improper fraction, rewrite it as a mixed number:
94 ÷ 11 = 8 and remainder = 6 =>
94/11 = (8 × 11 + 6)/11 = 8 + 6/11 = 8 6/11
Jun 03 23:19 UTC (GMT)
60/7 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
60 ÷ 7 = 8 and remainder = 4 =>
60/7 = (8 × 7 + 4)/7 = 8 + 4/7 = 8 4/7
Jun 03 23:19 UTC (GMT)
- 17/24 already reduced (simplified) Jun 03 23:19 UTC (GMT)
49/70 = (49 ÷ 7)/(70 ÷ 7) = 7/10 Jun 03 23:19 UTC (GMT)
160/720 = (160 ÷ 80)/(720 ÷ 80) = 2/9 Jun 03 23:18 UTC (GMT)
1,353/24 = (1,353 ÷ 3)/(24 ÷ 3) = 451/8
Improper fraction, rewrite it as a mixed number:
451 ÷ 8 = 56 and remainder = 3 =>
451/8 = (56 × 8 + 3)/8 = 56 + 3/8 = 56 3/8
Jun 03 23:18 UTC (GMT)
624/45 = (624 ÷ 3)/(45 ÷ 3) = 208/15
Improper fraction, rewrite it as a mixed number:
208 ÷ 15 = 13 and remainder = 13 =>
208/15 = (13 × 15 + 13)/15 = 13 + 13/15 = 13 13/15
Jun 03 23:18 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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