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Question

Write the fractions and pair up the equivalent fractions from each row.

Solution
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(a) Here, $$1$$ part is shaded out Of $$2$$ equal parts (i.e., rectangle). Hence, this figure represents a fraction $$\dfrac {1}{2}$$.
(b) Here, $$4$$ parts are shaded out of $$6$$ equal parts (i.e., rectangle). Hence, this figure represents a traction $$\dfrac {4}{6} = \dfrac {2}{3}$$
(c) Here, $$3$$ parts are shaded out of $$9$$ equal parts (i.e., squares). Hence, this figure represents a fraction $$\dfrac {3}{9} = \dfrac {1}{3}$$
(d) Here, $$2$$ parts are shaded Out Of $$8$$ equal parts (i.e., rectangle). Hence, this figure a fraction $$\dfrac {2}{8} = \dfrac {1}{4}$$
(e) Here, $$3$$ parts are shaded out Of $$4$$ equal parts (i.e., squares). Hence, this figure represents a fraction $$\dfrac {3}{4}$$
(i) Here, $$6$$ parts are shaded out of $$18$$ equal parts (i.e., triangles). Hence, this figure represents a fraction $$\dfrac {6}{18} = \dfrac {1}{3}$$
(ii) Here, $$4$$ parts are shaded out of $$8$$ equal parts (I.e., rectangles), Hence, this figure represents a fraction $$\dfrac {4}{8} = \dfrac {1}{2}$$
(iii) Here, $$12$$ parts are shaded out of $$16$$ equal parts (i.e., squares). Hence, this figure represents a fraction $$\dfrac {12}{16} = \dfrac {3}{4}$$
(iv) Here, $$8$$ parts are shaded out of $$12$$ equal parts (i.e., rectangles). Hence, this figure represents a fraction $$\dfrac {8}{12} = \dfrac {2}{3}$$
(v) Here, $$4$$ parts are shaded out of $$16$$ equal parts (i.e., triangles). Hence, this figure represents a fraction $$\dfrac {4}{16} = \dfrac {1}{4}$$
Now, these figures can be matched correctly as
(a) (ii), (b) (iv), (c) (i), (d) (v), (e) (iii).

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