# Multiply fractions: 15/62 × - 46/21 = ? Multiplication result of the ordinary (simple, common) fractions explained

## The latest fractions multiplied

 15/62 × - 46/21 = ? Jun 21 04:42 UTC (GMT) 38/43 × 30/54 = ? Jun 21 04:42 UTC (GMT) 14/26 × - 16/10 = ? Jun 21 04:41 UTC (GMT) 17/53 × 304/363 = ? Jun 21 04:41 UTC (GMT) - 229/27 × - 90/32 = ? Jun 21 04:41 UTC (GMT) 45/23 × 37/18 = ? Jun 21 04:41 UTC (GMT) 38/19 × 22/44 × 29/44 = ? Jun 21 04:41 UTC (GMT) 8/55 × 39/14 = ? Jun 21 04:41 UTC (GMT) 16/19 × 68/10 = ? Jun 21 04:41 UTC (GMT) 5/9 × 54 = ? Jun 21 04:41 UTC (GMT) - 23/234 × 69/19 = ? Jun 21 04:41 UTC (GMT) 28/40 × 21/48 = ? Jun 21 04:41 UTC (GMT) 57/82 × 98/71 = ? Jun 21 04:41 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.