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6. The following fractions represent just three different numbers. Separate them into three groups of equivalent fractions, by changing each one to its simplest form.

            (a) $\frac{2}{12}$

            (b) $\frac{3}{15}$

            (c) $\frac{8}{50}$

           (d) $\frac{16}{100}$

(e) $\frac{10}{16}$

(f) $\frac{15}{75}$

   (g) $\frac{12}{60}$

   (h) $\frac{16}{96}$

   (i) $\frac{12}{75}$

        ( j) $\frac{12}{72}$

(k) $\frac{3}{18}$

            (l) $\frac{4}{25}$

Answers (1)

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(i) $\frac{2}{12}\times \frac{\frac{1}{2}}{\frac{1}{2}}\ =\ \frac{1}{6}$

(ii) $\frac{3}{15}\times \frac{\frac{1}{3}}{\frac{1}{3}}\ =\ \frac{1}{5}$

(iii) $\frac{8}{50}\times \frac{\frac{1}{2}}{\frac{1}{2}}\ =\ \frac{4}{25}$

(iv) $\frac{16}{100}\times \frac{\frac{1}{4}}{\frac{1}{4}}\ =\ \frac{4}{25}$

(v) $\frac{10}{16}\times \frac{\frac{1}{2}}{\frac{1}{2}}\ =\ \frac{5}{8}$

(vi) $\frac{15}{75}\times \frac{\frac{1}{15}}{\frac{1}{15}}\ =\ \frac{1}{5}$

(vii) $\frac{12}{60}\times \frac{\frac{1}{12}}{\frac{1}{12}}\ =\ \frac{1}{5}$

(viii) $\frac{16}{96}\times \frac{\frac{1}{16}}{\frac{1}{16}}\ =\ \frac{1}{6}$

(ix) $\frac{12}{75}\times \frac{\frac{1}{3}}{\frac{1}{3}}\ =\ \frac{4}{25}$

(x) $\frac{12}{72}\times \frac{\frac{1}{12}}{\frac{1}{12}}\ =\ \frac{1}{6}$

(xi) $\frac{3}{18}\times \frac{\frac{1}{3}}{\frac{1}{3}}\ =\ \frac{1}{6}$

(xii) $\frac{4}{25}$

Posted by

Devendra Khairwa

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