# Multiply fractions: 4/10 × 5/10 = ? Multiplication result of the ordinary (simple, common) fractions explained

## The latest fractions multiplied

 4/10 × 5/10 = ? Aug 11 10:26 UTC (GMT) - 359/14 × 25/11 = ? Aug 11 10:26 UTC (GMT) 98/12 × 320/102 = ? Aug 11 10:26 UTC (GMT) 38/50 × 997/30 = ? Aug 11 10:26 UTC (GMT) 93/33 × 150/31 = ? Aug 11 10:25 UTC (GMT) - 88/4 × 46/9 × - 4,985/7 × 4,548/7 × - 45/3 × - 47/9 × 47/9 × - 35/7 = ? Aug 11 10:25 UTC (GMT) 16/17 × 1/4 = ? Aug 11 10:25 UTC (GMT) 2/3 × 249 = ? Aug 11 10:25 UTC (GMT) - 27/15 × 18/31 = ? Aug 11 10:25 UTC (GMT) - 20/21 × - 285/10 = ? Aug 11 10:25 UTC (GMT) - 13/40 × 242/98 = ? Aug 11 10:25 UTC (GMT) - 531/19 × 5,558/20 × - 7,893/22 × 9,475/28 = ? Aug 11 10:25 UTC (GMT) 12/56 × 14/42 = ? Aug 11 10:25 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.