Multiplying Fractions

Multiplying Fractions

Operation that, to each pair \(\left( \frac {a}{b}, \frac {c}{d}\right)\) of fractions associates a new fraction \(\frac {ac}{bd}\) called the product of these fractions.

  • The multiplication of fractions is not an operation on numbers, but an operation on expressions that represent relationships between numbers. Fractions do not form a set of numbers, so it is makes more sense to talk about the multiplication of two rational numbers expressed in fractional notation.
  • The product of two fractions is obtained by separately multiplying the numerators and the denominators of the two fractions.


\(\dfrac {3}{11}\) × \(\dfrac {5}{7}\) = \(\dfrac {3 × 5}{11 × 7}\) = \(\dfrac {15}{77}\)

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