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Write the fractions. Are all these fractions equivalent?
"
To do:
We have to write the fractions and find whether the given fractions are equivalent.
Solution:
(a)
(i) There are two parts in total and 1 part is shaded.
Therefore,
The fraction representing the shaded portion $=\frac{1}{2}$
(ii) There are four parts in total and 2 parts are shaded.
Therefore,
The fraction representing the shaded portion $=\frac{2}{4}$
$=\frac{1}{2}$
(iii) There are six parts in total and 3 parts are shaded.
Therefore,
The fraction representing the shaded portion $=\frac{3}{6}$
$=\frac{1}{2}$
(iv) There are eight parts in total and 4 parts are shaded.
Therefore,
The fraction representing the shaded portion $=\frac{4}{8}$
$=\frac{1}{2}$
Here, all the fractions are equivalent.
(b)
(i) There are twelve parts in total and 4 parts are shaded.
Therefore,
The fraction representing the shaded portion $=\frac{4}{12}$
$=\frac{1}{3}$
(ii) There are 9 parts in total and 3 parts are shaded.
Therefore,
The fraction representing the shaded portion $=\frac{3}{9}$
$=\frac{1}{3}$
(iii) There are six parts in total and 2 parts are shaded.
Therefore,
The fraction representing the shaded portion $=\frac{2}{6}$
$=\frac{1}{3}$
(iv) There are fifteen parts in total and 6 parts are shaded.
Therefore,
The fraction representing the shaded portion $=\frac{6}{15}$
$=\frac{2}{5}$
Here, all the fractions are not equivalent.
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