Match the equivalent fractions and write two more for each.

(i) $ \frac{250}{400} $	(a) $ \frac{2}{3} $
(ii) $ \frac{180}{200} $	(b) $ \frac{2}{5} $
(iii) $ \frac{660}{990} $	(c) $ \frac{1}{2} $
(iv) $ \frac{180}{360} $	(d) $ \frac{5}{8} $
(v) $ \frac{220}{550} $	(e) $ \frac{9}{10} $

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To do:

We have to match the equivalent fractions and write two more for each.

Solution:

(i) $\frac{250}{400}=\frac{5\times50}{8\times50}$

$=\frac{5}{8}$

$\frac{5\times10}{8\times10}=\frac{50}{80}$ and $\frac{5\times20}{8\times20}=\frac{100}{160}$ are two more fractions.

(ii) $\frac{180}{200}=\frac{9\times20}{10\times20}$

$=\frac{9}{10}$

$\frac{9\times10}{10\times10}=\frac{90}{100}$ and $\frac{9\times30}{10\times30}=\frac{270}{300}$ are two more fractions.

(iii) $\frac{660}{990}=\frac{2\times330}{3\times330}$

$=\frac{2}{3}$

$\frac{2\times10}{3\times10}=\frac{20}{30}$ and $\frac{2\times20}{3\times20}=\frac{40}{60}$ are two more fractions.

(iv) $\frac{180}{360}=\frac{1\times180}{2\times180}$

$=\frac{1}{2}$

$\frac{1\times10}{2\times10}=\frac{10}{20}$ and $\frac{1\times20}{2\times20}=\frac{20}{40}$ are two more fractions.

(v) $\frac{220}{550}=\frac{2\times110}{5\times110}$

$=\frac{2}{5}$

$\frac{2\times10}{5\times10}=\frac{20}{50}$ and $\frac{2\times20}{5\times20}=\frac{40}{100}$ are two more fractions.

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Updated on: 10-Oct-2022

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