# How to reduce (simplify) the common fraction - 81/2 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

 - 81/2 already reduced (simplified) Improper fraction, rewrite it as a mixed number: - 81 ÷ 2 = - 40 and remainder = - 1 => - 81/2 = ( - 40 × 2 - 1)/2 = - 40 - 1/2 = - 40 1/2 Oct 29 23:40 UTC (GMT) 6/736 = (6 ÷ 2)/(736 ÷ 2) = 3/368 Oct 29 23:40 UTC (GMT) 4,156/100 = (4,156 ÷ 4)/(100 ÷ 4) = 1,039/25 Improper fraction, rewrite it as a mixed number: 1,039 ÷ 25 = 41 and remainder = 14 => 1,039/25 = (41 × 25 + 14)/25 = 41 + 14/25 = 41 14/25 Oct 29 23:40 UTC (GMT) 43/24 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 43 ÷ 24 = 1 and remainder = 19 => 43/24 = (1 × 24 + 19)/24 = 1 + 19/24 = 1 19/24 Oct 29 23:40 UTC (GMT) - 64/512 = - (64 ÷ 64)/(512 ÷ 64) = - 1/8 Oct 29 23:40 UTC (GMT) 2,200/15 = (2,200 ÷ 5)/(15 ÷ 5) = 440/3 Improper fraction, rewrite it as a mixed number: 440 ÷ 3 = 146 and remainder = 2 => 440/3 = (146 × 3 + 2)/3 = 146 + 2/3 = 146 2/3 Oct 29 23:40 UTC (GMT) - 137/57 already reduced (simplified) Improper fraction, rewrite it as a mixed number: - 137 ÷ 57 = - 2 and remainder = - 23 => - 137/57 = ( - 2 × 57 - 23)/57 = - 2 - 23/57 = - 2 23/57 Oct 29 23:40 UTC (GMT) 119/256 already reduced (simplified) Oct 29 23:40 UTC (GMT) 3/17 already reduced (simplified) Oct 29 23:40 UTC (GMT) 2,163/42 = (2,163 ÷ 21)/(42 ÷ 21) = 103/2 Improper fraction, rewrite it as a mixed number: 103 ÷ 2 = 51 and remainder = 1 => 103/2 = (51 × 2 + 1)/2 = 51 + 1/2 = 51 1/2 Oct 29 23:39 UTC (GMT) - 398/45 already reduced (simplified) Improper fraction, rewrite it as a mixed number: - 398 ÷ 45 = - 8 and remainder = - 38 => - 398/45 = ( - 8 × 45 - 38)/45 = - 8 - 38/45 = - 8 38/45 Oct 29 23:39 UTC (GMT) - 11/650 already reduced (simplified) Oct 29 23:39 UTC (GMT) 9/16 already reduced (simplified) Oct 29 23:39 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.