# Multiply fractions: 42/53 × 54/31 = ? Multiplication result of the ordinary (simple, common) fractions explained

## The latest fractions multiplied

 42/53 × 54/31 = ? Apr 23 11:52 UTC (GMT) - 46/54 × 34/50 = ? Apr 23 11:52 UTC (GMT) - 330/6 × 71/12 = ? Apr 23 11:52 UTC (GMT) 4 × 13/6 = ? Apr 23 11:52 UTC (GMT) 300 × 1/2 = ? Apr 23 11:52 UTC (GMT) 22/32 × 194/161 = ? Apr 23 11:52 UTC (GMT) - 50/32 × - 246/717 = ? Apr 23 11:52 UTC (GMT) - 1,473/18 × 23/28 = ? Apr 23 11:52 UTC (GMT) 550 × 3/4 = ? Apr 23 11:51 UTC (GMT) - 25/41 × - 102/140 = ? Apr 23 11:51 UTC (GMT) - 16/37 × - 30/15 = ? Apr 23 11:51 UTC (GMT) 40/761 × 70/30 × - 95/30 × - 7,190/38 × 3,043/47 × 82/23 × 84/38 × - 90/43 × - 49/63 = ? Apr 23 11:51 UTC (GMT) 28/40 × - 45/21 = ? Apr 23 11:51 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.