Question

Match the equivalent fractions and write two more for each.
(i) $$\dfrac {250}{400}$$ (a) $$\dfrac {2}{3}$$

(ii) $$\dfrac {180}{200}$$ (b) $$\dfrac {2}{5}$$

(iii) $$\dfrac {660}{990}$$ (c) $$\dfrac {1}{2}$$

(iv) $$\dfrac {180}{360}$$ (d) $$\dfrac {5}{8}$$

(v) $$\dfrac {220}{550}$$ (e) $$\dfrac {9}{10}$$.

Answer 1

(i) $$\dfrac {250}{400} = \dfrac {5\times 50}{8\times 50} = \dfrac {5}{8}$$

Two more fraction are $$\dfrac {25}{40}, \dfrac {30}{48}$$.

(ii) $$\dfrac {180}{200} = \dfrac {9\times 20}{10\times 20} = \dfrac {9}{10}$$

Two more fractions are $$\dfrac {18}{20}, \dfrac {27}{30}$$.

(iii) $$\dfrac {660}{990} = \dfrac {2\times 330}{3\times 330} = \dfrac {2}{3}$$

Two more fractions are $$\dfrac {20}{30}, \dfrac {200}{300}$$.

(iv) $$\dfrac {180}{360} = \dfrac {1\times 180}{2\times 180} = \dfrac {1}{2}$$

Two more fractions are $$\dfrac {20}{40}, \dfrac {30}{60}$$.

(v) $$\dfrac {220}{550} = \dfrac {2\times 110}{5\times 110} = \dfrac {2}{5}$$

Two more fractions are $$\dfrac {20}{50}, \dfrac {40}{100}$$.

Now, these can be matched as
$$(i)\rightarrow (d), (ii)\rightarrow (e), (iii)\rightarrow (a), (iv)\rightarrow (c), (v)\rightarrow (b)$$.