# How to reduce (simplify) the common fraction - 107/634 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

 - 107/634 already reduced (simplified) Jun 01 15:41 UTC (GMT) 798/40 = (798 ÷ 2)/(40 ÷ 2) = 399/20 Improper fraction, rewrite it as a mixed number: 399 ÷ 20 = 19 and remainder = 19 => 399/20 = (19 × 20 + 19)/20 = 19 + 19/20 = 19 19/20 Jun 01 15:41 UTC (GMT) - 119/122 already reduced (simplified) Jun 01 15:41 UTC (GMT) 84/8 = (84 ÷ 4)/(8 ÷ 4) = 21/2 Improper fraction, rewrite it as a mixed number: 21 ÷ 2 = 10 and remainder = 1 => 21/2 = (10 × 2 + 1)/2 = 10 + 1/2 = 10 1/2 Jun 01 15:40 UTC (GMT) 51/5 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 51 ÷ 5 = 10 and remainder = 1 => 51/5 = (10 × 5 + 1)/5 = 10 + 1/5 = 10 1/5 Jun 01 15:40 UTC (GMT) - 101/280 already reduced (simplified) Jun 01 15:40 UTC (GMT) - 5/ - 6 already reduced (simplified) Jun 01 15:40 UTC (GMT) 65/35 = (65 ÷ 5)/(35 ÷ 5) = 13/7 Improper fraction, rewrite it as a mixed number: 13 ÷ 7 = 1 and remainder = 6 => 13/7 = (1 × 7 + 6)/7 = 1 + 6/7 = 1 6/7 Jun 01 15:40 UTC (GMT) 84/100 = (84 ÷ 4)/(100 ÷ 4) = 21/25 Jun 01 15:40 UTC (GMT) 211/99 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 211 ÷ 99 = 2 and remainder = 13 => 211/99 = (2 × 99 + 13)/99 = 2 + 13/99 = 2 13/99 Jun 01 15:40 UTC (GMT) 1/48 already reduced (simplified) Jun 01 15:40 UTC (GMT) - 13/8 already reduced (simplified) Improper fraction, rewrite it as a mixed number: - 13 ÷ 8 = - 1 and remainder = - 5 => - 13/8 = ( - 1 × 8 - 5)/8 = - 1 - 5/8 = - 1 5/8 Jun 01 15:40 UTC (GMT) 3/18 = (3 ÷ 3)/(18 ÷ 3) = 1/6 Jun 01 15:40 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.
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