# Multiply fractions: 11/30 × 16/40 = ? Multiplication result of the ordinary (simple, common) fractions explained

## The latest fractions multiplied

 11/30 × 16/40 = ? Jan 19 15:15 UTC (GMT) - 27/46 × 28/43 = ? Jan 19 15:15 UTC (GMT) - 35/67 × 33/51 = ? Jan 19 15:15 UTC (GMT) 28/10 × 13/26 × 14/35 = ? Jan 19 15:15 UTC (GMT) - 13/34 × 30/435 = ? Jan 19 15:15 UTC (GMT) 3,720/16 × - 23/25 = ? Jan 19 15:15 UTC (GMT) - 65/18 × - 51/8 × 1,379/11 × 3,948/8 × - 50/11 × 57/10 × 62/16 × - 14/19 × - 22/8 = ? Jan 19 15:15 UTC (GMT) 420/69 × - 7,168/27 × 7,166/30 × - 7,235/28 × - 719,672/404 = ? Jan 19 15:15 UTC (GMT) - 99/76 × - 94/52 = ? Jan 19 15:14 UTC (GMT) 80/9 × - 91/14 = ? Jan 19 15:14 UTC (GMT) - 39/21 × - 35/27 = ? Jan 19 15:14 UTC (GMT) 13/14 × 7/11 = ? Jan 19 15:14 UTC (GMT) 26/23 × 9/21 = ? Jan 19 15:14 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.