# Multiply fractions: - 600/23 × - 750/30 = ? Multiplication result of the ordinary (simple, common) fractions explained

## The latest fractions multiplied

 - 600/23 × - 750/30 = ? Jun 21 03:18 UTC (GMT) 21/6 × 28/12 = ? Jun 21 03:17 UTC (GMT) 71/27 × 55/31 = ? Jun 21 03:17 UTC (GMT) - 1 × - 1 = ? Jun 21 03:17 UTC (GMT) 79/36 × 50/108 = ? Jun 21 03:17 UTC (GMT) 32/32 × 23/34 = ? Jun 21 03:17 UTC (GMT) 13/18 × 6/7 = ? Jun 21 03:17 UTC (GMT) - 29/38 × 91/15 = ? Jun 21 03:17 UTC (GMT) 33/14 × 28/9 = ? Jun 21 03:17 UTC (GMT) 18/19 × 134/167 = ? Jun 21 03:17 UTC (GMT) - 23/39 × - 830/24 = ? Jun 21 03:17 UTC (GMT) 617/14 × - 14/25 = ? Jun 21 03:17 UTC (GMT) 9/8 × 2/3 = ? Jun 21 03:17 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.