# How to reduce (simplify) the common fraction 427/35 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

 427/35 = (427 ÷ 7)/(35 ÷ 7) = 61/5 Improper fraction, rewrite it as a mixed number: 61 ÷ 5 = 12 and remainder = 1 => 61/5 = (12 × 5 + 1)/5 = 12 + 1/5 = 12 1/5 Jun 06 20:08 UTC (GMT) 18/ - 2 = - (18 ÷ 2)/(2 ÷ 2) = - 9/1 = - 9 Jun 06 20:07 UTC (GMT) 125/124 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 125 ÷ 124 = 1 and remainder = 1 => 125/124 = (1 × 124 + 1)/124 = 1 + 1/124 = 1 1/124 Jun 06 20:07 UTC (GMT) 120/75 = (120 ÷ 15)/(75 ÷ 15) = 8/5 Improper fraction, rewrite it as a mixed number: 8 ÷ 5 = 1 and remainder = 3 => 8/5 = (1 × 5 + 3)/5 = 1 + 3/5 = 1 3/5 Jun 06 20:07 UTC (GMT) 108/120 = (108 ÷ 12)/(120 ÷ 12) = 9/10 Jun 06 20:07 UTC (GMT) 6/100 = (6 ÷ 2)/(100 ÷ 2) = 3/50 Jun 06 20:07 UTC (GMT) 72/216 = (72 ÷ 72)/(216 ÷ 72) = 1/3 Jun 06 20:07 UTC (GMT) - 22/7 already reduced (simplified) Improper fraction, rewrite it as a mixed number: - 22 ÷ 7 = - 3 and remainder = - 1 => - 22/7 = ( - 3 × 7 - 1)/7 = - 3 - 1/7 = - 3 1/7 Jun 06 20:07 UTC (GMT) 134/5 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 134 ÷ 5 = 26 and remainder = 4 => 134/5 = (26 × 5 + 4)/5 = 26 + 4/5 = 26 4/5 Jun 06 20:07 UTC (GMT) 323/4 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 323 ÷ 4 = 80 and remainder = 3 => 323/4 = (80 × 4 + 3)/4 = 80 + 3/4 = 80 3/4 Jun 06 20:07 UTC (GMT) 17/7 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 17 ÷ 7 = 2 and remainder = 3 => 17/7 = (2 × 7 + 3)/7 = 2 + 3/7 = 2 3/7 Jun 06 20:07 UTC (GMT) 775/832 already reduced (simplified) Jun 06 20:07 UTC (GMT) 19/2 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 19 ÷ 2 = 9 and remainder = 1 => 19/2 = (9 × 2 + 1)/2 = 9 + 1/2 = 9 1/2 Jun 06 20:07 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.