# Multiply fractions: 21/45 × 29/31 = ? Multiplication result of the ordinary (simple, common) fractions explained

## The latest fractions multiplied

 21/45 × 29/31 = ? Sep 24 02:45 UTC (GMT) 12/55 × - 10/11 = ? Sep 24 02:45 UTC (GMT) 59/83 × 96/88 × 294/4 = ? Sep 24 02:45 UTC (GMT) 31/11 × - 12/16 = ? Sep 24 02:45 UTC (GMT) 24/12 × 30/18 = ? Sep 24 02:45 UTC (GMT) - 47/113 × - 44/124 = ? Sep 24 02:45 UTC (GMT) - 133/33 × - 97/28 × - 9,544/26 × 9,552/37 × 94/42 × 99/30 × 91/42 × - 73/27 = ? Sep 24 02:44 UTC (GMT) - 72/8 × - 16/8 = ? Sep 24 02:44 UTC (GMT) 39/72 × 126/44 = ? Sep 24 02:44 UTC (GMT) - 20/243 × - 78/19 = ? Sep 24 02:44 UTC (GMT) - 28/33 × 823/21 = ? Sep 24 02:44 UTC (GMT) 311/986 × - 146/117 = ? Sep 24 02:44 UTC (GMT) - 118/115 × 113/120 = ? Sep 24 02:44 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.