Question:

Find:
(i) \(\frac{2}{5}\) ÷ \(\frac{1}{2}\)
(ii) \(\frac{4}{9}\) ÷ \(\frac{2}{3}\)
(iii) \(\frac{3}{7}\) ÷ \(\frac{8}{7}\)
(iv) 2\(\frac{1}{3}\)÷ \(\frac{3}{5}\)
(v) 3 \(\frac{1}{2}\) ÷ \(\frac{8}{3}\)
(vi) \(\frac{2}{5}\) ÷ 1 \(\frac{1}{2}\)
(vii) 3 \(\frac{1}{5}\) ÷ 1 \(\frac{2}{3}\)
(viii) 2 \(\frac{1}{5}\) ÷ 1 \(\frac{1}{5}\)

Updated On: Dec 7, 2023
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Solution and Explanation

(i)\(\frac{2}{5}\)÷ \(\frac{1}{2}\) = \(\frac{2}{5}\) × 2 = \(\frac{4}{5}\)



(ii) \(\frac{4}{9}\) ÷ \(\frac{2}{3}\) = \(\frac{4}{9}\) × \(\frac{3}{2}\) = \(\frac{2}{3}\)



(iii) \(\frac{3}{7}\) ÷ \(\frac{8}{7}\) = \(\frac{3}{7}\)× \(\frac{7}{8}\) =\(\frac{3}{8}\)



(iv) 2\(\frac{1}{3}\) ÷ \(\frac{3}{5}\) = \(\frac{7}{3}\) ÷ \(\frac{3}{5}\) = \(\frac{7}{3}\) ×\(\frac{5}{3}\) = \(\frac{35}{9}\)



(v) 3 \(\frac{1}{2}\) ÷ \(\frac{8}{3}\) = \(\frac{7}{2}\) ÷ \(\frac{8}{3}\) = \(\frac{7}{2}\) × \(\frac{3}{8}\) = \(\frac{21}{16}\)



(vi) \(\frac{2}{5}\) ÷ 1\(\frac{1}{2}\)\(\frac{2}{5}\) ÷ \(\frac{3}{2}\) = \(\frac{2}{5}\) × \(\frac{2}{3}\) = \(\frac{4}{15}\)



(vii) 3 \(\frac{1}{5}\) ÷ 1 \(\frac{2}{3}\) = \(\frac{16}{5}\) ÷ \(\frac{5}{3}\) = \(\frac{16}{5}\) × \(\frac{3}{5}\) = \(\frac{48}{25}\)



(viii) 2\(\frac{1}{5}\) ÷ 1\(\frac{1}{5}\) = \(\frac{11}{5}\) ÷ \(\frac{6}{5}\) = \(\frac{11}{5}\) × \(\frac{5}{6}\) = \(\frac{11}{6}\)

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