A dutch mathematician and engineer first wrote fractional numbers in the form we now use. To find his name, match each rational number or mixed number with its equivalent in the simplest form. Then write the corresponding letter in the space provided.

$\begin{array}{ccccccccccccccccccccc}\text{(i)}\frac{6}{100}& & \text{(ii)}\frac{14}{56}& & \text{(iii)}\frac{10}{16}& & \text{(iv)}\frac{34}{12}& & \text{(v)}\frac{48}{6}& & \text{(vi)}\frac{32}{20}& & \text{(vii)}\frac{16}{24}& & \text{(viii)}3\frac{145}{435}& & \text{(viiii)}\frac{44}{12}& & \text{(x)}\frac{78}{10}& & \text{(xi)}\frac{84}{100}\\ \text{T}& & \text{S}& & \text{I}& & \text{O}& & \text{S}& & \text{M}& & \text{V}& & \text{N}& & \text{N}& & \text{I}& & \text{E}\\ \frac{2}{3}& & 1\frac{2}{5}& & 7\frac{4}{5}& & 2\frac{5}{6}& & \frac{3}{50}& & \frac{5}{8}& & 3\frac{2}{3}& & \frac{4}{5}& & \frac{21}{25}& & \frac{1}{4}& & 3\frac{1}{3}\end{array}$

$\begin{array}{ccccccccccccccccccccc}\overline{\text{(i)}}& & \overline{\text{(ii)}}& & \overline{\text{(iii)}}& & \overline{\text{(iv)}}& & \overline{\text{(v)}}& & \overline{\text{(vi)}}& & \overline{\text{(vii)}}& & \overline{\text{(viii)}}& & \overline{\text{(viiii)}}& & \overline{\text{(x)}}& & \overline{\text{(xi)}}\end{array}$

Write the fraction.

  $\frac{1}{3}=$

Reduce the following fractions to the simplest form:

$\frac{48}{60}$.

Study the shaded region and fill in the box.

$\frac{4}{10}=\frac{2}{\square }$ 

Evaluate the simplest form of:

$\frac{32}{96}$

Which of the following are the pairs of equivalent fractions?

$\frac{5}{6}$ and $\frac{20}{24}$

Write the missing fraction.

     $\frac{2}{3}=$_____

Check whether the given fractions are equivalent:

$\frac{5}{9},\frac{30}{54}$

Colour the following show equivalent fraction.

$\frac{2}{4}=\frac{1}{2}$

Consider the quotients in the cells of column $2$ and $3$. If in the both columns natural numbers with no decimal part appear in the same row, then $\frac{p}{q}$ is equivalent to $\frac{r}{s}$, where $r,s$ are respective natural numbers.

Amongst all the equivalent fractions the one in simplest form comes last.

Here $\frac{p}{q}=\frac{8}{24}=\frac{4}{12}=\frac{2}{6}=\frac{1}{3}$

Using the same method, evaluate the simplest form of:

$\frac{420}{60}$

Write the fraction.

  $\frac{2}{5}=$

Show that the fraction $\frac{8}{11}$ is in the simplest form.

The following fractions represent just three different numbers. Separate them into three groups of equivalent fractions, by changing each one to its simplest form.

Write the missing fraction.

$\frac{5}{10}=$_____