Question

Question 2:

Write the fraction and pair up the equivalent fractions to each row:

Answer 1

To find the fraction of a given figure(the coloured parts) represents is as follows:

(i) Count the number of equal parts in which the figure is divided.

(ii) Count the number of shaded parts.

(iii) The fraction the shaded part represents = $\frac{\text{Number of equal parts shaded}}{\text{Total number of parts in which the figure is equally divided}}$

$\therefore$The fractions shown in the diagrams are:

(a) : $\frac{1}{2}$

(b) : $\frac{4}{6}$

(c) : $\frac{3}{9}$

(d) : $\frac{2}{8}$

(e) : $\frac{3}{4}$

(i) : $\frac{6}{18}$

(ii) : $\frac{4}{8}$

(iii) : $\frac{12}{16}$

(iv) : $\frac{8}{12}$

(v) : $\frac{4}{16}$

The fractions which are equivalent are paired below.

$\begin{array}{c}\left(a\right)\frac{1}{2}\left(ii\right)\frac{\text{/}4}{\text{/}8}=\frac{1}{2}\\ \left(b\right)\frac{\text{/}4}{\text{/}6}=\frac{2}{3}\left(iv\right)\frac{\text{/}8}{\text{/}12}=\frac{2}{3}\\ \left(c\right)\frac{\text{/}3}{\text{/}9}=\frac{1}{3}\left(i\right)\frac{\text{/}6}{\text{/}18}=\frac{1}{3}\\ \left(d\right)\frac{\text{/}2}{\text{/}8}=\frac{1}{4}\left(v\right)\frac{\text{/}4}{\text{/}16}=\frac{1}{4}\\ \left(e\right)\frac{3}{4}\left(iii\right)\frac{\text{/}12}{\text{/}16}=\frac{3}{4}\end{array}$