# Multiply fractions: 579/56 × 7,873/44 = ? Multiplication result of the ordinary (simple, common) fractions explained

## The latest fractions multiplied

 579/56 × 7,873/44 = ? Jun 29 21:54 UTC (GMT) - 21/21 × 33/34 = ? Jun 29 21:54 UTC (GMT) 5/7 × 210 = ? Jun 29 21:54 UTC (GMT) - 17/43 × 35,221/12 = ? Jun 29 21:54 UTC (GMT) 15/11 × 33/17 = ? Jun 29 21:54 UTC (GMT) 15/100 × 120 = ? Jun 29 21:54 UTC (GMT) 12/7 × 3/13 × - 11/9 × 13/10 = ? Jun 29 21:54 UTC (GMT) 53/36 × - 53/40 = ? Jun 29 21:54 UTC (GMT) - 94/9 × 7/8 = ? Jun 29 21:54 UTC (GMT) - 82/45 × 95/38 = ? Jun 29 21:54 UTC (GMT) 556/33 × 92/29 × 3,399/23 × - 8,858/40 × - 97/36 × - 85/34 × 95/34 × 10,061/39 = ? Jun 29 21:54 UTC (GMT) 75/19 × 7/44 = ? Jun 29 21:54 UTC (GMT) 59/37 × - 78/58 = ? Jun 29 21:54 UTC (GMT) see more... ordinary (common) fractions multiplied by users

## How to multiply two fractions?

#### When we multiply ordinary fractions, the end fraction will have:

• as a numerator, the result of multiplying all the numerators of the fractions,
• as a denominator, the result of multiplying all the denominators of the fractions.
• a/b × c/d = (a × c) / (b × d)
• a, b, c, d are integer numbers;
• if the pairs (a × c) and (b × d) are not coprime (they have common prime factors) the end fraction should be reduced (simplified) to lower terms.

### How to multiply ordinary fractions? Steps.

• Start by reducing fractions to lower terms (simplifying).
• Reduce math fractions to lower terms, online, with explanations.
• Factor the numerators and the denominators of the reduced fractions: break them down to their prime factors.
• Calculate the prime factors of numbers, online calculator
• Above the fraction bar we write the product of all the prime factors of the fractions' numerators, without doing any calculations.
• Below the fraction bar we write the product of all the prime factors of the fractions' denominators, without doing any calculations.
• Cross out all the common prime factors that appear both above and below the fraction bar.
• Multiply the remaining prime factors above the fraction bar - this will be the numerator of the resulted fraction.
• Multiply the remaining prime factors below the fraction bar - this will be the denominator of the resulted fraction.
• There is no need to reduce (simplify) the resulting fraction, since we have already crossed out all the common prime factors.
• If the resulted fraction is an improper one (without considering the sign, the numerator is larger than the denominator), it could be written as a mixed number, consisting of an integer and a proper fraction of the same sign.
• Write improper fractions as mixed numbers, online.
• Multiply ordinary fractions, online, with explanations.