# Multiply fractions: - 33/42 × 111/105 = ? Multiplication result of the ordinary (simple, common) fractions explained

## The latest fractions multiplied

 - 33/42 × 111/105 = ? Jan 19 14:15 UTC (GMT) 16/114 × 14/75 = ? Jan 19 14:15 UTC (GMT) 6/9 × - 12/13 × 31/8 × - 26/8 = ? Jan 19 14:14 UTC (GMT) 140/10 × - 16/22 = ? Jan 19 14:14 UTC (GMT) - 21/36 × 52/19 = ? Jan 19 14:14 UTC (GMT) - 35/21 × 273/16 = ? Jan 19 14:14 UTC (GMT) - 45/151 × - 13/23 = ? Jan 19 14:14 UTC (GMT) - 42/20 × - 27/11 = ? Jan 19 14:14 UTC (GMT) - 5/35 × 92/13 = ? Jan 19 14:14 UTC (GMT) 5/15 × - 11/28 = ? Jan 19 14:14 UTC (GMT) - 79/34 × - 98/47 = ? Jan 19 14:14 UTC (GMT) 508/6 × - 94/3 × - 87/8 × - 76/10 × - 109/9 × 98/6 × 87/8 × 79/3 × 107/7 = ? Jan 19 14:14 UTC (GMT) 28/60 × - 357/38 = ? Jan 19 14:14 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.