Question

Match the equivalent fractions and write two more for each.

Column 1	Column 2
$\frac{2}{3}$	$\frac{250}{400}$
$\frac{2}{5}$	$\frac{180}{200}$
$\frac{1}{2}$	$\frac{660}{990}$
$\frac{5}{8}$	$\frac{180}{360}$
$\frac{9}{10}$	$\frac{220}{550}$

Answer 1

The explanation for $\left(i\right)$:

Find the equivalent fractions.

$$\begin{gathered} \frac{250}{400}=\frac{25}{40}=\frac{5}{8}=\left(\mathrm{d}\right) \\ \mathrm{Two}\mathrm{more}\mathrm{fractions}\mathrm{are}\frac{25}{40},\frac{30}{48}. \end{gathered}$$

Hence $\left(i\right)\to \left(d\right)$

Explanation for $\left(ii\right)$:

Find the equivalent fractions.

$$\begin{gathered} \frac{180}{200}=\frac{18}{20}=\frac{9}{10}=\left(\mathrm{e}\right) \\ \mathrm{Two}\mathrm{other}\mathrm{fractions}\mathrm{are}\frac{18}{20},\frac{27}{30}. \end{gathered}$$

Hence $\left(ii\right)\to \left(e\right)$

Explanation for $\left(iii\right)$:

Find the equivalent fractions.

$$\begin{gathered} \frac{660}{990}=\frac{66}{99}=\frac{2}{3}=\left(\mathrm{a}\right) \\ \mathrm{Two}\mathrm{more}\mathrm{fractions}\mathrm{are}\frac{20}{30},\frac{200}{300} \end{gathered}$$

Hence $\left(iii\right)\to \left(a\right)$

Explanation for $\left(iv\right)$:

Find the equivalent fractions.

$$\begin{gathered} \frac{180}{360}=\frac{18}{36}=\frac{1}{2}=\left(\mathrm{c}\right) \\ \mathrm{Two}\mathrm{more}\mathrm{fractions}\mathrm{are}\frac{20}{40},\frac{30}{60}. \end{gathered}$$

Hence $\left(iv\right)\to \left(c\right)$

Explanation for $\left(v\right)$:

Find the equivalent fractions.

$$\begin{gathered} \frac{220}{550}=\frac{22}{55}=\frac{2}{5}=\left(\mathrm{b}\right) \\ \mathrm{Two}\mathrm{more}\mathrm{fractions}\mathrm{are}\frac{20}{50},\frac{40}{100}. \end{gathered}$$

Hence $\left(v\right)\to \left(b\right)$

Hence:

$$\begin{gathered} \left(i\right)\to \left(d\right) \\ \left(ii\right)\to \left(e\right) \\ \left(iii\right)\to \left(a\right) \\ \left(iv\right)\to \left(c\right) \\ \left(v\right)\to \left(b\right) \end{gathered}$$