Fractions
New Zealand
Level 2
Ordering and counting with fractions (2,3,4,5)
Lesson
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 third $\editable{}$ thirds $1$1 whole
question 2
Order these fractions from largest to smallest.
$\frac{3}{4}$34, $2$2 quarters,
$2$2 quarters, $\frac{3}{4}$34,
A, $2$2 quarters, $\frac{3}{4}$34B, $\frac{3}{4}$34, $2$2 quartersC
Question 3
Complete the table below.
Image Number of
Shaded PiecesTotal Number of Pieces
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 $\editable{}$ $\frac{\editable{}}{\editable{}}$ $\editable{}$ $\editable{}$ $\frac{\editable{}}{\editable{}}$
Remember!
The denominator is how many equal parts make up the whole.
The numerator is the number of equal parts in the fraction.