# Multiply fractions: 30/42 × 21/44 = ? Multiplication result of the ordinary (simple, common) fractions explained

## The latest fractions multiplied

 30/42 × 21/44 = ? Apr 23 12:15 UTC (GMT) - 511/8 × 54/12 × 58/9 × - 52/13 × 6,317/12 × 6,314/12 × 3,884/16 × 3,892/13 × - 57/13 × 10,012/7 = ? Apr 23 12:15 UTC (GMT) 36/21 × - 21/9 = ? Apr 23 12:15 UTC (GMT) 21/64 × 56/33 × 19/23 = ? Apr 23 12:15 UTC (GMT) - 11/46 × 13/40 = ? Apr 23 12:15 UTC (GMT) 36/44 × 11/12 = ? Apr 23 12:15 UTC (GMT) - 35/13 × 20/13 = ? Apr 23 12:15 UTC (GMT) - 14/3 × 49/5 = ? Apr 23 12:15 UTC (GMT) 8/26 × 9/30 = ? Apr 23 12:15 UTC (GMT) 6/14 × - 28/9 = ? Apr 23 12:14 UTC (GMT) - 13/27 × 19/37 = ? Apr 23 12:14 UTC (GMT) - 47/14 × 27/11 = ? Apr 23 12:14 UTC (GMT) 505/27 × 173/19 = ? Apr 23 12:14 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.