# How to reduce (simplify) the common fraction 5,180/990 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

 5,180/990 = (5,180 ÷ 10)/(990 ÷ 10) = 518/99 Improper fraction, rewrite it as a mixed number: 518 ÷ 99 = 5 and remainder = 23 => 518/99 = (5 × 99 + 23)/99 = 5 + 23/99 = 5 23/99 Jul 02 22:04 UTC (GMT) 563/63 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 563 ÷ 63 = 8 and remainder = 59 => 563/63 = (8 × 63 + 59)/63 = 8 + 59/63 = 8 59/63 Jul 02 22:04 UTC (GMT) 563/63 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 563 ÷ 63 = 8 and remainder = 59 => 563/63 = (8 × 63 + 59)/63 = 8 + 59/63 = 8 59/63 Jul 02 22:04 UTC (GMT) 3,827/8 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 3,827 ÷ 8 = 478 and remainder = 3 => 3,827/8 = (478 × 8 + 3)/8 = 478 + 3/8 = 478 3/8 Jul 02 22:04 UTC (GMT) 190/2,967 already reduced (simplified) Jul 02 22:04 UTC (GMT) 270/1,377 = (270 ÷ 27)/(1,377 ÷ 27) = 10/51 Jul 02 22:04 UTC (GMT) 16/2,086 = (16 ÷ 2)/(2,086 ÷ 2) = 8/1,043 Jul 02 22:04 UTC (GMT) 4,272/22 = (4,272 ÷ 2)/(22 ÷ 2) = 2,136/11 Improper fraction, rewrite it as a mixed number: 2,136 ÷ 11 = 194 and remainder = 2 => 2,136/11 = (194 × 11 + 2)/11 = 194 + 2/11 = 194 2/11 Jul 02 22:04 UTC (GMT) 47/90 already reduced (simplified) Jul 02 22:04 UTC (GMT) 32/195 already reduced (simplified) Jul 02 22:04 UTC (GMT) - 50/24 = - (50 ÷ 2)/(24 ÷ 2) = - 25/12 Improper fraction, rewrite it as a mixed number: - 25 ÷ 12 = - 2 and remainder = - 1 => - 25/12 = ( - 2 × 12 - 1)/12 = - 2 - 1/12 = - 2 1/12 Jul 02 22:04 UTC (GMT) 778/928 = (778 ÷ 2)/(928 ÷ 2) = 389/464 Jul 02 22:04 UTC (GMT) 75/112 already reduced (simplified) Jul 02 22:04 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.