How to reduce (simplify) the common fraction 152/10 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:

in the notation with exponents:


152 = 23 × 19


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.


gcf (23 × 19; 2 × 5) = 2

Calculate the greatest common factor, GCF, online calculator


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

152/10 =


(23 × 19)/(2 × 5) =


((23 × 19) ÷ 2) / ((2 × 5) ÷ 2) =


(22 × 19)/5 =


76/5

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.


76 ÷ 5 = 15 and remainder = 1 =>


76 = 15 × 5 + 1 =>


76/5 =


(15 × 5 + 1) / 5 =


15 + 1/5 =


15 1/5

As a decimal number:

15 1/5 =


15 + 1/5 =


15 + 1 ÷ 5 =


15.2

As a percentage:

15.2 =


15.2 × 100/100 =


1,520/100 =


1,520%

Convert fractions to percentages, online calculator


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

As a positive improper fraction (numerator > denominator):
152/10 = 76/5

As a mixed number
(a whole number and a proper fraction, of the same sign):
152/10 = 15 1/5

As a decimal number:
152/10 = 15.2

As a percentage:
152/10 = 1,520%

How to reduce (simplify) the common fraction: 155/19?


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

152/10 = (152 ÷ 2)/(10 ÷ 2) = 76/5
Improper fraction, rewrite it as a mixed number:
76 ÷ 5 = 15 and remainder = 1 =>
76/5 = (15 × 5 + 1)/5 = 15 + 1/5 = 15 1/5
Jul 02 18:43 UTC (GMT)
- 940/6 = - (940 ÷ 2)/(6 ÷ 2) = - 470/3
Improper fraction, rewrite it as a mixed number:
- 470 ÷ 3 = - 156 and remainder = - 2 =>
- 470/3 = ( - 156 × 3 - 2)/3 = - 156 - 2/3 = - 156 2/3
Jul 02 18:43 UTC (GMT)
308/1,587 already reduced (simplified) Jul 02 18:43 UTC (GMT)
3,885/15 = (3,885 ÷ 15)/(15 ÷ 15) = 259/1 = 259 Jul 02 18:43 UTC (GMT)
3,885/15 = (3,885 ÷ 15)/(15 ÷ 15) = 259/1 = 259 Jul 02 18:43 UTC (GMT)
1,086/91 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
1,086 ÷ 91 = 11 and remainder = 85 =>
1,086/91 = (11 × 91 + 85)/91 = 11 + 85/91 = 11 85/91
Jul 02 18:43 UTC (GMT)
44/6 = (44 ÷ 2)/(6 ÷ 2) = 22/3
Improper fraction, rewrite it as a mixed number:
22 ÷ 3 = 7 and remainder = 1 =>
22/3 = (7 × 3 + 1)/3 = 7 + 1/3 = 7 1/3
Jul 02 18:43 UTC (GMT)
39/4,998 = (39 ÷ 3)/(4,998 ÷ 3) = 13/1,666 Jul 02 18:42 UTC (GMT)
47/1,473 already reduced (simplified) Jul 02 18:42 UTC (GMT)
4,649/35 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
4,649 ÷ 35 = 132 and remainder = 29 =>
4,649/35 = (132 × 35 + 29)/35 = 132 + 29/35 = 132 29/35
Jul 02 18:42 UTC (GMT)
45/120 = (45 ÷ 15)/(120 ÷ 15) = 3/8 Jul 02 18:42 UTC (GMT)
3,526/15 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
3,526 ÷ 15 = 235 and remainder = 1 =>
3,526/15 = (235 × 15 + 1)/15 = 235 + 1/15 = 235 1/15
Jul 02 18:42 UTC (GMT)
45/12 = (45 ÷ 3)/(12 ÷ 3) = 15/4
Improper fraction, rewrite it as a mixed number:
15 ÷ 4 = 3 and remainder = 3 =>
15/4 = (3 × 4 + 3)/4 = 3 + 3/4 = 3 3/4
Jul 02 18:42 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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