# How to reduce (simplify) the common fraction 130/7 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

 130/7 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 130 ÷ 7 = 18 and remainder = 4 => 130/7 = (18 × 7 + 4)/7 = 18 + 4/7 = 18 4/7 Jul 02 19:53 UTC (GMT) 597/3,221 already reduced (simplified) Jul 02 19:53 UTC (GMT) 9/108 = (9 ÷ 9)/(108 ÷ 9) = 1/12 Jul 02 19:52 UTC (GMT) - 33/2 already reduced (simplified) Improper fraction, rewrite it as a mixed number: - 33 ÷ 2 = - 16 and remainder = - 1 => - 33/2 = ( - 16 × 2 - 1)/2 = - 16 - 1/2 = - 16 1/2 Jul 02 19:52 UTC (GMT) 16/3 already reduced (simplified) 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 Jul 02 19:52 UTC (GMT) 16/3 already reduced (simplified) 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 Jul 02 19:52 UTC (GMT) 4/3 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 4 ÷ 3 = 1 and remainder = 1 => 4/3 = (1 × 3 + 1)/3 = 1 + 1/3 = 1 1/3 Jul 02 19:52 UTC (GMT) 12/15 = (12 ÷ 3)/(15 ÷ 3) = 4/5 Jul 02 19:52 UTC (GMT) 103/140 already reduced (simplified) Jul 02 19:52 UTC (GMT) - 5/ - 8 already reduced (simplified) Jul 02 19:52 UTC (GMT) 12/400 = (12 ÷ 4)/(400 ÷ 4) = 3/100 Jul 02 19:52 UTC (GMT) 1,133/382 already reduced (simplified) Improper fraction, rewrite it as a mixed number: 1,133 ÷ 382 = 2 and remainder = 369 => 1,133/382 = (2 × 382 + 369)/382 = 2 + 369/382 = 2 369/382 Jul 02 19:52 UTC (GMT) 100/180 = (100 ÷ 20)/(180 ÷ 20) = 5/9 Jul 02 19:52 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.