Equivalent Fractions

The lowest form of $\frac{33}{121}$ is $\frac{3}{11}$.

Write the equivalent fractions represented by the shaded portions of the figures. 

The simplest form of the fraction $\frac{84}{98}$ is

The simplest form of the fraction $\frac{150}{60}$ is $\frac{5}{2}$

The simplest form of the fraction $\frac{12}{52}$ is
 $\frac{3}{13}$

The simplest form of the fraction $\frac{48}{60}$ is 

Equivalent fraction of $\frac{6}{8}$ having denominator $24$ is $\frac{18}{24}$

Equivalent fraction of $\frac{3}{7}$ having numerator $12$ is $\frac{12}{28}$

Equivalent fraction of $\frac{5}{10}$ is $\frac{1}{2}$

Equivalent fraction of $\frac{3}{5}$

Are these fractions equivalent

Are these fractions equivalent

Write the simplest form of $\frac{144}{180}$.

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 a rational number equivalent to $\frac{4}{7}$ with
(i)  numerator 20
(ii)  denominator 28

Write an equivalent number for each of the following rational numbers. Fill in the blanks shown below with the corresponding letter found below each answer. What you will find is the name of a famous author of children's books who born almost a hundred years ago.

$\begin{array}{ccccccccccccccccccc}& \text{N}& & & & \text{B}& & & & \text{Y}& & & & \text{L}& & & & \text{E}& \\ \frac{3}{8}& =& \frac{\text{?}}{16}& & \frac{14}{20}& =& \frac{\text{?}}{10}& & \frac{3}{6}& =& \frac{\text{?}}{12}& & \frac{1}{3}& =& \frac{\text{?}}{6}& & \frac{6}{8}& =& \frac{\text{?}}{24}\\ & \text{I}& & & & \text{T}& & & & \text{D}& & & & \text{O}& & & & \text{N}& \\ \frac{5}{10}& =& \frac{\text{?}}{20}& & \frac{7}{8}& =& \frac{\text{?}}{16}& & \frac{8}{10}& =& \frac{4}{\text{?}}& & \frac{1}{4}& =& \frac{4}{\text{?}}& & \frac{8}{36}& =& \frac{32}{\text{?}}\end{array}$
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$\begin{array}{ccccccccccccccccccc}\frac{18}{24}& & \frac{6}{16}& & \frac{10}{20}& & \frac{4}{5}& & \frac{7}{10}& & \frac{2}{6}& & \frac{6}{12}& & \frac{14}{16}& & \frac{4}{16}& & \frac{36}{162}\end{array}$