# Multiply fractions: - 18/36 × 18/12 = ? Multiplication result of the ordinary (simple, common) fractions explained

## The latest fractions multiplied

 - 18/36 × 18/12 = ? Jul 28 17:37 UTC (GMT) 22/12 × 11/22 = ? Jul 28 17:37 UTC (GMT) 78/31 × 415/17 = ? Jul 28 17:37 UTC (GMT) - 40/61 × 32/81 = ? Jul 28 17:37 UTC (GMT) - 286/16 × 21/30 = ? Jul 28 17:37 UTC (GMT) - 423/37 × - 44/71 = ? Jul 28 17:37 UTC (GMT) 58/37 × 40/66 = ? Jul 28 17:37 UTC (GMT) - 33/58 × 42/57 = ? Jul 28 17:37 UTC (GMT) 50/49 × 27/54 = ? Jul 28 17:37 UTC (GMT) - 67/104 × 52/180 × 34/63 = ? Jul 28 17:36 UTC (GMT) 29/47 × - 40/46 × 54/33 × 35/52 × - 52/33 × 36/44 × 32/46 × - 42/55 × 39/58 × 53/34 = ? Jul 28 17:36 UTC (GMT) - 63/69 × 2,594/16 × - 2,596/15 × 46/30 = ? Jul 28 17:36 UTC (GMT) - 267/928 × - 14/27 = ? Jul 28 17:36 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.