Multiplying common ordinary fractions, online calculator. Result and the multiplication process explained

The string entered must contain only common (ordinary) fractions. A common (ordinary) fraction is a fraction in which both the numerator and the denominator are whole numbers. The numerator is the number above the fraction bar. The denominator is the number below the fraction bar.

Multiply the common ordinary fractions: ⁵²/₁₄ × - ¹⁸/₂₇ = ?	Apr 19 21:52 UTC (GMT)
Multiply the common ordinary fractions: - ⁶²/₈₄ × ¹⁵³/₅₀ = ?	Apr 19 21:52 UTC (GMT)
Multiply the common ordinary fractions: ³⁹/₁₈ × - ⁸⁴/₃₄ = ?	Apr 19 21:52 UTC (GMT)
Multiply the common ordinary fractions: - ⁹⁰/₅₆ × ⁸³/₄₀ = ?	Apr 19 21:52 UTC (GMT)
Multiply the common ordinary fractions: ³⁷/₆₇ × - ⁴¹/₈₁ = ?	Apr 19 21:51 UTC (GMT)
Multiply the common ordinary fractions: ³⁹/₁₈ × - ⁸⁴/₃₄ = ?	Apr 19 21:51 UTC (GMT)
Multiply the common ordinary fractions: ⁸/₁₅ × ¹³/₂₀ = ?	Apr 19 21:51 UTC (GMT)
Multiply the common ordinary fractions: ²⁰/₅₆ × - ⁶⁵/₃₆ = ?	Apr 19 21:51 UTC (GMT)
Multiply the common ordinary fractions: ²¹/₃₅ × - ²⁶²/₁₅ = ?	Apr 19 21:49 UTC (GMT)
Multiply the common ordinary fractions: ⁷¹/₄₆ × - ⁷³/₄₀ = ?	Apr 19 21:49 UTC (GMT)
All the common ordinary fractions multiplied by the users

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.

Start by reducing fractions to lower terms (simplifying).
Internal link > Reduce common ordinary fractions to the lowest terms, online, with explanations
Factor the numerators and the denominators of the reduced fractions: break them down to their prime factors.
External link > Check whether numbers are prime or not. Calculate the prime factors of the composite 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.
Internal link > Reduce (simplify) and write improper fractions as mixed numbers, online calculator
Internal link > Multiply common ordinary fractions, online, with explanations