Fraction of a quantity


To find \(\dfrac{2}{3}\) of 18 oranges, 
we divide the 18 oranges into three equal parts. This makes three equal parts of six oranges. Then we take two of these parts.

3 groups of 6 oranges. Outline around 2 groups.

This can be calculated as follows:

\(\dfrac{1}{3}\) of 18 = 6. (18 ÷ 3 = 6)

and so \(\dfrac{2}{3}\) of 18 = 2 × 6 = 12.

Question 3

Find \(\dfrac{4}{5}\) of 15.

Solution

In the diagram \(\dfrac{1}{5}\) of 15 = 3 is shown. There are 5 equal parts of 3 rectangles.

5 groups of 3 rectangles. 1 group shaded.

So \(\dfrac{4}{5}\) of 15 = 4 × 3 = 12.

5 groups of 3 rectangles. 4 groups shaded.