# How to reduce (simplify) the common fraction - 14/21 to its simplest equivalent form, irreducible? Result written as a proper fraction, as a decimal number and as a percentage %

## The latest fractions reduced to the lowest terms

 - 14/21 = - (14 ÷ 7)/(21 ÷ 7) = - 2/3 Jul 04 08:58 UTC (GMT) 87/2,809 already reduced (simplified) Jul 04 08:58 UTC (GMT) 45/36 = (45 ÷ 9)/(36 ÷ 9) = 5/4 Improper fraction, rewrite it as a mixed number: 5 ÷ 4 = 1 and remainder = 1 => 5/4 = (1 × 4 + 1)/4 = 1 + 1/4 = 1 1/4 Jul 04 08:58 UTC (GMT) 47/35 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 47 ÷ 35 = 1 and remainder = 12 => 47/35 = (1 × 35 + 12)/35 = 1 + 12/35 = 1 12/35 Jul 04 08:57 UTC (GMT) 557/25 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 557 ÷ 25 = 22 and remainder = 7 => 557/25 = (22 × 25 + 7)/25 = 22 + 7/25 = 22 7/25 Jul 04 08:57 UTC (GMT) 6/4,521 = (6 ÷ 3)/(4,521 ÷ 3) = 2/1,507 Jul 04 08:57 UTC (GMT) 37/27 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 37 ÷ 27 = 1 and remainder = 10 => 37/27 = (1 × 27 + 10)/27 = 1 + 10/27 = 1 10/27 Jul 04 08:57 UTC (GMT) 198/787 already reduced (simplified) Jul 04 08:57 UTC (GMT) 375,375/871,871 = (375,375 ÷ 1,001)/(871,871 ÷ 1,001) = 375/871 Jul 04 08:57 UTC (GMT) 24/1 already reduced (simplified) = 24 Jul 04 08:57 UTC (GMT) 92/4,464 = (92 ÷ 4)/(4,464 ÷ 4) = 23/1,116 Jul 04 08:57 UTC (GMT) 91/30 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 91 ÷ 30 = 3 and remainder = 1 => 91/30 = (3 × 30 + 1)/30 = 3 + 1/30 = 3 1/30 Jul 04 08:56 UTC (GMT) 23/32 already reduced (simplified) Jul 04 08:56 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.