# How to reduce (simplify) the common fraction 12/7 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

 18/24 = (18 ÷ 6)/(24 ÷ 6) = 3/4 Jun 03 21:15 UTC (GMT) 12/7 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 12 ÷ 7 = 1 and remainder = 5 => 12/7 = (1 × 7 + 5)/7 = 1 + 5/7 = 1 5/7 Jun 03 21:15 UTC (GMT) 3/16 already reduced (simplified) Jun 03 21:15 UTC (GMT) 4,812/10,000 = (4,812 ÷ 4)/(10,000 ÷ 4) = 1,203/2,500 Jun 03 21:15 UTC (GMT) 4,019/400 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 4,019 ÷ 400 = 10 and remainder = 19 => 4,019/400 = (10 × 400 + 19)/400 = 10 + 19/400 = 10 19/400 Jun 03 21:15 UTC (GMT) - 20/18 = - (20 ÷ 2)/(18 ÷ 2) = - 10/9 Improper fraction, rewrite it as a mixed number: - 10 ÷ 9 = - 1 and remainder = - 1 => - 10/9 = ( - 1 × 9 - 1)/9 = - 1 - 1/9 = - 1 1/9 Jun 03 21:15 UTC (GMT) 192/3,786 = (192 ÷ 6)/(3,786 ÷ 6) = 32/631 Jun 03 21:15 UTC (GMT) 1/16 already reduced (simplified) Jun 03 21:15 UTC (GMT) 51/9 = (51 ÷ 3)/(9 ÷ 3) = 17/3 Improper fraction, rewrite it as a mixed number: 17 ÷ 3 = 5 and remainder = 2 => 17/3 = (5 × 3 + 2)/3 = 5 + 2/3 = 5 2/3 Jun 03 21:14 UTC (GMT) - 6/15 = - (6 ÷ 3)/(15 ÷ 3) = - 2/5 Jun 03 21:14 UTC (GMT) 13/78 = (13 ÷ 13)/(78 ÷ 13) = 1/6 Jun 03 21:14 UTC (GMT) 1/20 already reduced (simplified) Jun 03 21:14 UTC (GMT) 279,936/7,776 = (279,936 ÷ 7,776)/(7,776 ÷ 7,776) = 36/1 = 36 Jun 03 21:14 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.