# How to reduce (simplify) the common fraction - 51/13 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

 - 51/13 already reduced (simplified) Improper fraction, rewrite it as a mixed number: - 51 ÷ 13 = - 3 and remainder = - 12 => - 51/13 = ( - 3 × 13 - 12)/13 = - 3 - 12/13 = - 3 12/13 Jul 02 19:56 UTC (GMT) 248/3,446 = (248 ÷ 2)/(3,446 ÷ 2) = 124/1,723 Jul 02 19:55 UTC (GMT) 135/10 = (135 ÷ 5)/(10 ÷ 5) = 27/2 Improper fraction, rewrite it as a mixed number: 27 ÷ 2 = 13 and remainder = 1 => 27/2 = (13 × 2 + 1)/2 = 13 + 1/2 = 13 1/2 Jul 02 19:55 UTC (GMT) 595/18 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 595 ÷ 18 = 33 and remainder = 1 => 595/18 = (33 × 18 + 1)/18 = 33 + 1/18 = 33 1/18 Jul 02 19:55 UTC (GMT) 121/4 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 121 ÷ 4 = 30 and remainder = 1 => 121/4 = (30 × 4 + 1)/4 = 30 + 1/4 = 30 1/4 Jul 02 19:55 UTC (GMT) 28/463 already reduced (simplified) Jul 02 19:55 UTC (GMT) 4,916/156 = (4,916 ÷ 4)/(156 ÷ 4) = 1,229/39 Improper fraction, rewrite it as a mixed number: 1,229 ÷ 39 = 31 and remainder = 20 => 1,229/39 = (31 × 39 + 20)/39 = 31 + 20/39 = 31 20/39 Jul 02 19:55 UTC (GMT) - 21/10 already reduced (simplified) Improper fraction, rewrite it as a mixed number: - 21 ÷ 10 = - 2 and remainder = - 1 => - 21/10 = ( - 2 × 10 - 1)/10 = - 2 - 1/10 = - 2 1/10 Jul 02 19:55 UTC (GMT) 3,465/165 = (3,465 ÷ 165)/(165 ÷ 165) = 21/1 = 21 Jul 02 19:55 UTC (GMT) 41/20 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 41 ÷ 20 = 2 and remainder = 1 => 41/20 = (2 × 20 + 1)/20 = 2 + 1/20 = 2 1/20 Jul 02 19:55 UTC (GMT) 180/1,421 already reduced (simplified) Jul 02 19:55 UTC (GMT) 14/41 already reduced (simplified) Jul 02 19:55 UTC (GMT) 6/15 = (6 ÷ 3)/(15 ÷ 3) = 2/5 Jul 02 19:55 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.