# Multiply fractions: - 627/17 × 21/31 = ? Multiplication result of the ordinary (simple, common) fractions explained

## The latest fractions multiplied

 - 627/17 × 21/31 = ? May 09 10:17 UTC (GMT) - 50/25 × - 56/31 × 70/29 = ? May 09 10:16 UTC (GMT) - 18/34 × 18/39 = ? May 09 10:16 UTC (GMT) 87/30 × - 35/81 = ? May 09 10:16 UTC (GMT) 9/20 × 422/8 = ? May 09 10:16 UTC (GMT) 26/27 × - 36/21 = ? May 09 10:16 UTC (GMT) 12/53 × 43/8 = ? May 09 10:16 UTC (GMT) - 16/22 × 466/12 = ? May 09 10:16 UTC (GMT) 3/4 × 40,000 = ? May 09 10:16 UTC (GMT) - 14/25 × 23/18 = ? May 09 10:16 UTC (GMT) 12/25 × 88/12 = ? May 09 10:16 UTC (GMT) - 10/65 × 64/68 × - 58/68 × - 65/70 × - 67/60 × 70/65 × - 65/69 × 68/75 × - 79/69 × 71/78 × - 65/77 × - 68/78 × 75/74 × - 70/77 × - 72/76 = ? May 09 10:16 UTC (GMT) 18/23 × - 24/71 = ? May 09 10:16 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.