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Three of Four Equal Slices

A round pie has been cut through its center into four slices that are exactly the same size. Three slices are lifted away and one still sits on the plate, so three of the four parts are taken.

In the picture

  1. The round plate holding all four wedges: the whole, cut into four equal parts
  2. The wedge still lying in its place: one of the four equal parts
  3. The three lifted wedges: the parts taken from the whole

Examples

  • A pizza cut into eight equal slices, and you eat three of them
  • A chocolate bar snapped into five equal squares, and you give two away

Quiz: Three of Four Equal Slices (Age 11)

  1. In a fraction, what does the bottom number tell you?

    • How many equal parts the whole was cut into
    • How many wholes there are altogether
    • How many of the parts were taken
  2. Three of the four equal slices of one pie are taken. Which fraction shows the part that was taken?

    • 4/3
    • 3/4
    • 1/4
  3. A pie is cut into four pieces, but one piece is much bigger than the others. Why can one of those pieces not be called one fourth of the pie?

    • Because the four pieces are not all the same size
    • Because a fourth must always be the smallest piece
    • Because four pieces are too few to make a fraction

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Maths, Age 11