# Multiply fractions: 3/5 × 7/4 × 10/3 × 5/7 = ? Multiplication result of the ordinary (simple, common) fractions explained

## The latest fractions multiplied

 3/5 × 7/4 × 10/3 × 5/7 = ? Jun 21 04:53 UTC (GMT) 57/18 × 33/47 = ? Jun 21 04:53 UTC (GMT) 65/50 × 163/49 = ? Jun 21 04:53 UTC (GMT) 46/67 × - 102/29 = ? Jun 21 04:53 UTC (GMT) 16/16 × - 113/12 = ? Jun 21 04:53 UTC (GMT) 42/13 × 19/23 = ? Jun 21 04:52 UTC (GMT) 87/131 × 56/112 × 96/83 = ? Jun 21 04:52 UTC (GMT) 27/51 × 673/29 = ? Jun 21 04:52 UTC (GMT) 9/16 × 7/17 × - 54/9 = ? Jun 21 04:52 UTC (GMT) 18/30 × 37/25 = ? Jun 21 04:52 UTC (GMT) 7,400/8,649 × - 497/592 = ? Jun 21 04:52 UTC (GMT) 42/56 × - 697/33 = ? Jun 21 04:52 UTC (GMT) 37/55 × - 40/65 = ? Jun 21 04:52 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.