# Multiply fractions: 4,236/30 × 31/38 = ? Multiplication result of the ordinary (simple, common) fractions explained

## The latest fractions multiplied

 4,236/30 × 31/38 = ? May 09 09:42 UTC (GMT) - 10/14 × - 68/5 = ? May 09 09:42 UTC (GMT) 31/11 × 16/12 = ? May 09 09:42 UTC (GMT) 896/13 × 12/26 = ? May 09 09:42 UTC (GMT) - 21/33 × 34/56 = ? May 09 09:42 UTC (GMT) 93/12 × - 29/36 = ? May 09 09:42 UTC (GMT) - 598/24 × 29/55 = ? May 09 09:42 UTC (GMT) - 36/15 × - 22/21 = ? May 09 09:42 UTC (GMT) 33/39 × 8,046/32 = ? May 09 09:42 UTC (GMT) 25/6 × 16/3 = ? May 09 09:42 UTC (GMT) 18/28 × 23/28 = ? May 09 09:42 UTC (GMT) 39/11 × - 8/4 = ? May 09 09:42 UTC (GMT) 28/49 × 135/21 = ? May 09 09:42 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.