# How to reduce (simplify) the common fraction 29/12 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

 19/56 already reduced (simplified) Jul 02 17:53 UTC (GMT) 29/12 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 29 ÷ 12 = 2 and remainder = 5 => 29/12 = (2 × 12 + 5)/12 = 2 + 5/12 = 2 5/12 Jul 02 17:53 UTC (GMT) 468/5 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 468 ÷ 5 = 93 and remainder = 3 => 468/5 = (93 × 5 + 3)/5 = 93 + 3/5 = 93 3/5 Jul 02 17:53 UTC (GMT) 180/120 = (180 ÷ 60)/(120 ÷ 60) = 3/2 Improper fraction, rewrite it as a mixed number: 3 ÷ 2 = 1 and remainder = 1 => 3/2 = (1 × 2 + 1)/2 = 1 + 1/2 = 1 1/2 Jul 02 17:53 UTC (GMT) 227/292 already reduced (simplified) Jul 02 17:53 UTC (GMT) 156/2,657 already reduced (simplified) Jul 02 17:53 UTC (GMT) 1,120/4,319 = (1,120 ÷ 7)/(4,319 ÷ 7) = 160/617 Jul 02 17:53 UTC (GMT) 8/677 already reduced (simplified) Jul 02 17:53 UTC (GMT) 2,951/18 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 2,951 ÷ 18 = 163 and remainder = 17 => 2,951/18 = (163 × 18 + 17)/18 = 163 + 17/18 = 163 17/18 Jul 02 17:53 UTC (GMT) 175/250 = (175 ÷ 25)/(250 ÷ 25) = 7/10 Jul 02 17:52 UTC (GMT) - 1/150 already reduced (simplified) Jul 02 17:52 UTC (GMT) 192/7 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 192 ÷ 7 = 27 and remainder = 3 => 192/7 = (27 × 7 + 3)/7 = 27 + 3/7 = 27 3/7 Jul 02 17:52 UTC (GMT) 563/100 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 563 ÷ 100 = 5 and remainder = 63 => 563/100 = (5 × 100 + 63)/100 = 5 + 63/100 = 5 63/100 Jul 02 17:52 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.