\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)

Fractions

Definition


  • Hugo shares a cake with his brother Louis: 1 cake =
  • Hugo cuts the cake into two equal parts:
  • Hugo takes 1 of 2 parts:
  • His father asks, "Can you represent the part you have with a number?" Hugo thinks carefully. "I know numbers like 0, 1, 2, and so on. But 1 represents a whole cake, and 0 means no cake at all." Then he realizes, "I can use a fraction!" His father smiles and says, "Exactly! We write it as $$\dfrac{\textcolor{colordef}{1}}{\textcolor{colorprop}{2}}$$ where \(\textcolor{colordef}{1}\) is the number of parts you have, and \(\textcolor{colorprop}{2}\) is the total number of equal parts in the whole cake."

Definition Fraction
A fraction includes two numbers: the numerator and the denominator, separated by a bar.