How to reduce (simplify) the common fraction 42/50 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:


42 = 2 × 3 × 7


50 = 2 × 52

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 (2 × 3 × 7; 2 × 52) = 2

Calculate the greatest common factor, GCF, online calculator


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

42/50 =


(2 × 3 × 7)/(2 × 52) =


((2 × 3 × 7) ÷ 2) / ((2 × 52) ÷ 2) =


(3 × 7)/52 =


21/25

Rewrite the end result:

As a decimal number:

21/25 =


21 ÷ 25 =


0.84

As a percentage:

0.84 =


0.84 × 100/100 =


84/100 =


84%

Convert fractions to percentages, online calculator


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

As a positive proper fraction
(numerator < denominator):
42/50 = 21/25

As a decimal number:
42/50 = 0.84

As a percentage:
42/50 = 84%

How to reduce (simplify) the common fraction: 50/59?


Writing numbers: point '.' used as a decimal mark;

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

Reduce (simplify) ordinary fractions, online calculator

The latest fractions reduced to the lowest terms

42/50 = (42 ÷ 2)/(50 ÷ 2) = 21/25 Jun 03 21:20 UTC (GMT)
28/37 already reduced (simplified) Jun 03 21:20 UTC (GMT)
68/3,078 = (68 ÷ 2)/(3,078 ÷ 2) = 34/1,539 Jun 03 21:20 UTC (GMT)
512/7 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
512 ÷ 7 = 73 and remainder = 1 =>
512/7 = (73 × 7 + 1)/7 = 73 + 1/7 = 73 1/7
Jun 03 21:20 UTC (GMT)
151/4 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
151 ÷ 4 = 37 and remainder = 3 =>
151/4 = (37 × 4 + 3)/4 = 37 + 3/4 = 37 3/4
Jun 03 21:20 UTC (GMT)
458/100 = (458 ÷ 2)/(100 ÷ 2) = 229/50
Improper fraction, rewrite it as a mixed number:
229 ÷ 50 = 4 and remainder = 29 =>
229/50 = (4 × 50 + 29)/50 = 4 + 29/50 = 4 29/50
Jun 03 21:20 UTC (GMT)
74/105 already reduced (simplified) Jun 03 21:20 UTC (GMT)
503/10 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
503 ÷ 10 = 50 and remainder = 3 =>
503/10 = (50 × 10 + 3)/10 = 50 + 3/10 = 50 3/10
Jun 03 21:20 UTC (GMT)
71/32 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
71 ÷ 32 = 2 and remainder = 7 =>
71/32 = (2 × 32 + 7)/32 = 2 + 7/32 = 2 7/32
Jun 03 21:20 UTC (GMT)
582/100 = (582 ÷ 2)/(100 ÷ 2) = 291/50
Improper fraction, rewrite it as a mixed number:
291 ÷ 50 = 5 and remainder = 41 =>
291/50 = (5 × 50 + 41)/50 = 5 + 41/50 = 5 41/50
Jun 03 21:19 UTC (GMT)
513/350 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
513 ÷ 350 = 1 and remainder = 163 =>
513/350 = (1 × 350 + 163)/350 = 1 + 163/350 = 1 163/350
Jun 03 21:19 UTC (GMT)
300/36 = (300 ÷ 12)/(36 ÷ 12) = 25/3
Improper fraction, rewrite it as a mixed number:
25 ÷ 3 = 8 and remainder = 1 =>
25/3 = (8 × 3 + 1)/3 = 8 + 1/3 = 8 1/3
Jun 03 21:19 UTC (GMT)
- 9/153 = - (9 ÷ 9)/(153 ÷ 9) = - 1/17 Jun 03 21:19 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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