Factor the reduced fractions' numerators and denominators down to their prime factors.
The end fraction will have as a numerator the product of all the numerators' prime factors and as a denominator the product of all the denominators' prime factors.
Reduce all the common prime factors of the prime factorized nominator and denominator.
Perform effectively the multiplication operations of the remaining prime factors above the fraction line, for the numerator, and under the line, for the denominator.
The end fraction cannot be reduced anymore, since all the common prime factors were already reduced.
Whenever the case, if the fraction is an improper one, in other words if the absolute value of the fraction's numerator is larger than the absolute value of the fraction's denominator (also called a top-heavy fraction), the end fraction could be written as a mixed number (also called a mixed fraction), consisting of an integer and a proper fraction.
An example of multiplying three ordinary fractions, with explanations: 6/90 * 16/24 * 30/75.
to reduce each fraction to lower terms (simplify), factor each fraction's both numerator and denominator down to their prime factors.
Divide both the numerator and denominator of each fracton by their greatest common factor GCF (greatest common divisor GCD).