# How to reduce (simplify) the common fraction - 56/3 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

 - 56/3 already reduced (simplified) Improper fraction, rewrite it as a mixed number: - 56 ÷ 3 = - 18 and remainder = - 2 => - 56/3 = ( - 18 × 3 - 2)/3 = - 18 - 2/3 = - 18 2/3 Jun 03 22:31 UTC (GMT) - 20/8 = - (20 ÷ 4)/(8 ÷ 4) = - 5/2 Improper fraction, rewrite it as a mixed number: - 5 ÷ 2 = - 2 and remainder = - 1 => - 5/2 = ( - 2 × 2 - 1)/2 = - 2 - 1/2 = - 2 1/2 Jun 03 22:31 UTC (GMT) 21/18 = (21 ÷ 3)/(18 ÷ 3) = 7/6 Improper fraction, rewrite it as a mixed number: 7 ÷ 6 = 1 and remainder = 1 => 7/6 = (1 × 6 + 1)/6 = 1 + 1/6 = 1 1/6 Jun 03 22:31 UTC (GMT) 72/336 = (72 ÷ 24)/(336 ÷ 24) = 3/14 Jun 03 22:31 UTC (GMT) 726/238 = (726 ÷ 2)/(238 ÷ 2) = 363/119 Improper fraction, rewrite it as a mixed number: 363 ÷ 119 = 3 and remainder = 6 => 363/119 = (3 × 119 + 6)/119 = 3 + 6/119 = 3 6/119 Jun 03 22:31 UTC (GMT) 176/32 = (176 ÷ 16)/(32 ÷ 16) = 11/2 Improper fraction, rewrite it as a mixed number: 11 ÷ 2 = 5 and remainder = 1 => 11/2 = (5 × 2 + 1)/2 = 5 + 1/2 = 5 1/2 Jun 03 22:31 UTC (GMT) 10/14 = (10 ÷ 2)/(14 ÷ 2) = 5/7 Jun 03 22:31 UTC (GMT) - 81/16 already reduced (simplified) Improper fraction, rewrite it as a mixed number: - 81 ÷ 16 = - 5 and remainder = - 1 => - 81/16 = ( - 5 × 16 - 1)/16 = - 5 - 1/16 = - 5 1/16 Jun 03 22:31 UTC (GMT) 180/35 = (180 ÷ 5)/(35 ÷ 5) = 36/7 Improper fraction, rewrite it as a mixed number: 36 ÷ 7 = 5 and remainder = 1 => 36/7 = (5 × 7 + 1)/7 = 5 + 1/7 = 5 1/7 Jun 03 22:31 UTC (GMT) 209/9 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 209 ÷ 9 = 23 and remainder = 2 => 209/9 = (23 × 9 + 2)/9 = 23 + 2/9 = 23 2/9 Jun 03 22:31 UTC (GMT) 85/41 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 85 ÷ 41 = 2 and remainder = 3 => 85/41 = (2 × 41 + 3)/41 = 2 + 3/41 = 2 3/41 Jun 03 22:30 UTC (GMT) - 9/4 already reduced (simplified) Improper fraction, rewrite it as a mixed number: - 9 ÷ 4 = - 2 and remainder = - 1 => - 9/4 = ( - 2 × 4 - 1)/4 = - 2 - 1/4 = - 2 1/4 Jun 03 22:30 UTC (GMT) 45/120 = (45 ÷ 15)/(120 ÷ 15) = 3/8 Jun 03 22:30 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.