# How to reduce (simplify) the common fraction 1,181/60 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

 1,181/60 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 1,181 ÷ 60 = 19 and remainder = 41 => 1,181/60 = (19 × 60 + 41)/60 = 19 + 41/60 = 19 41/60 Jun 06 19:19 UTC (GMT) 23/9 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 23 ÷ 9 = 2 and remainder = 5 => 23/9 = (2 × 9 + 5)/9 = 2 + 5/9 = 2 5/9 Jun 06 19:19 UTC (GMT) 983/84 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 983 ÷ 84 = 11 and remainder = 59 => 983/84 = (11 × 84 + 59)/84 = 11 + 59/84 = 11 59/84 Jun 06 19:19 UTC (GMT) - 17/4 already reduced (simplified) Improper fraction, rewrite it as a mixed number: - 17 ÷ 4 = - 4 and remainder = - 1 => - 17/4 = ( - 4 × 4 - 1)/4 = - 4 - 1/4 = - 4 1/4 Jun 06 19:19 UTC (GMT) 7/11 already reduced (simplified) Jun 06 19:19 UTC (GMT) 27/60 = (27 ÷ 3)/(60 ÷ 3) = 9/20 Jun 06 19:18 UTC (GMT) 48/9 = (48 ÷ 3)/(9 ÷ 3) = 16/3 Improper fraction, rewrite it as a mixed number: 16 ÷ 3 = 5 and remainder = 1 => 16/3 = (5 × 3 + 1)/3 = 5 + 1/3 = 5 1/3 Jun 06 19:18 UTC (GMT) 291/27 = (291 ÷ 3)/(27 ÷ 3) = 97/9 Improper fraction, rewrite it as a mixed number: 97 ÷ 9 = 10 and remainder = 7 => 97/9 = (10 × 9 + 7)/9 = 10 + 7/9 = 10 7/9 Jun 06 19:18 UTC (GMT) 12/360 = (12 ÷ 12)/(360 ÷ 12) = 1/30 Jun 06 19:18 UTC (GMT) 23/20 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 23 ÷ 20 = 1 and remainder = 3 => 23/20 = (1 × 20 + 3)/20 = 1 + 3/20 = 1 3/20 Jun 06 19:18 UTC (GMT) 121/144 already reduced (simplified) Jun 06 19:18 UTC (GMT) - 8/11 already reduced (simplified) Jun 06 19:18 UTC (GMT) 500/75 = (500 ÷ 25)/(75 ÷ 25) = 20/3 Improper fraction, rewrite it as a mixed number: 20 ÷ 3 = 6 and remainder = 2 => 20/3 = (6 × 3 + 2)/3 = 6 + 2/3 = 6 2/3 Jun 06 19:18 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.