# How to reduce (simplify) the common fraction - 29/21 to its simplest equivalent form, irreducible? Result written as an improper fraction, as a mixed number, as a decimal number and as a percentage %

## The latest fractions reduced to the lowest terms

 - 29/21 already reduced (simplified) Improper fraction, rewrite it as a mixed number: - 29 ÷ 21 = - 1 and remainder = - 8 => - 29/21 = ( - 1 × 21 - 8)/21 = - 1 - 8/21 = - 1 8/21 Jun 03 21:34 UTC (GMT) - 5/7 already reduced (simplified) Jun 03 21:34 UTC (GMT) 300/13 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 300 ÷ 13 = 23 and remainder = 1 => 300/13 = (23 × 13 + 1)/13 = 23 + 1/13 = 23 1/13 Jun 03 21:34 UTC (GMT) 858/97 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 858 ÷ 97 = 8 and remainder = 82 => 858/97 = (8 × 97 + 82)/97 = 8 + 82/97 = 8 82/97 Jun 03 21:34 UTC (GMT) 90/1,392 = (90 ÷ 6)/(1,392 ÷ 6) = 15/232 Jun 03 21:34 UTC (GMT) 125/75 = (125 ÷ 25)/(75 ÷ 25) = 5/3 Improper fraction, rewrite it as a mixed number: 5 ÷ 3 = 1 and remainder = 2 => 5/3 = (1 × 3 + 2)/3 = 1 + 2/3 = 1 2/3 Jun 03 21:34 UTC (GMT) 1,378/1,342 = (1,378 ÷ 2)/(1,342 ÷ 2) = 689/671 Improper fraction, rewrite it as a mixed number: 689 ÷ 671 = 1 and remainder = 18 => 689/671 = (1 × 671 + 18)/671 = 1 + 18/671 = 1 18/671 Jun 03 21:34 UTC (GMT) 87/2 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 87 ÷ 2 = 43 and remainder = 1 => 87/2 = (43 × 2 + 1)/2 = 43 + 1/2 = 43 1/2 Jun 03 21:33 UTC (GMT) 1,236/24,310 = (1,236 ÷ 2)/(24,310 ÷ 2) = 618/12,155 Jun 03 21:33 UTC (GMT) 2,671/63 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 2,671 ÷ 63 = 42 and remainder = 25 => 2,671/63 = (42 × 63 + 25)/63 = 42 + 25/63 = 42 25/63 Jun 03 21:33 UTC (GMT) 30/7 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 30 ÷ 7 = 4 and remainder = 2 => 30/7 = (4 × 7 + 2)/7 = 4 + 2/7 = 4 2/7 Jun 03 21:33 UTC (GMT) 140/4,770 = (140 ÷ 10)/(4,770 ÷ 10) = 14/477 Jun 03 21:33 UTC (GMT) 31/18 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 31 ÷ 18 = 1 and remainder = 13 => 31/18 = (1 × 18 + 13)/18 = 1 + 13/18 = 1 13/18 Jun 03 21:32 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.