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Stage 1

Ordering and counting with fractions (2,3,4,5)


You may have already learned about representing fractions using area models.

When representing fractions the:

  • denominator (the bottom number) shows how many equal parts make the whole.
  • numerator (the top number) shows how many equal parts are selected.

Fractions can be written in:

  • words, e.g. two thirds
  • pictures, e.g.
  • symbols, e.g. $\frac{2}{3}$23

Watch this video to learn about counting and ordering fractions in words, symbols and pictures.


Worked examples

Question 1

Georgia was counting fractions in the thirds.

Fill in the gaps for her.

  1. $1$1 third $\editable{}$ thirds $1$1 whole

question 2

Order these fractions from largest to smallest.

  1. $\frac{3}{4}$34, $2$2 quarters,

    $2$2 quarters, $\frac{3}{4}$34,


    , $2$2 quarters, $\frac{3}{4}$34


    , $\frac{3}{4}$34, $2$2 quarters


Question 3

Complete the table below.



    Number of
    Shaded Pieces

    Total Number of


    Fraction of

    Shaded Pieces

    $1$1 $5$5 $\frac{\editable{}}{\editable{}}$

    $\editable{}$ $5$5 $\frac{\editable{}}{\editable{}}$

    $3$3 $\editable{}$ $\frac{3}{5}$35

    $4$4 $\editable{}$ $\frac{\editable{}}{\editable{}}$

    $\editable{}$ $\editable{}$ $\frac{\editable{}}{\editable{}}$


The denominator is how many equal parts make up the whole.

The numerator is the number of equal parts in the fraction.

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