Convert the following fractions into decimal numbers. (i) \(\frac{3}

1.	Convert the following fractions into decimal numbers. (i) \(\frac{3}{10}\)(ii) 3\(\frac{1}{2}\) (iii) 3\(\frac{3}{5}\) (iv) \(\frac{3}{2}\)(v) \(\frac{4}{5}\)(vi) \(\frac{99}{100}\)(vii) 3\(\frac{19}{25}\)
Answer» (i) \(\frac{3}{10}\) = 0.3 (ii) 3\(\frac{1}{2}\) = \(\frac{7}{2}\) = \(\frac{7\times5}{2\times5}\) = \(\frac{35}{10}\) = 3.5 (iii) 3\(\frac{3}{5}\) = \(\frac{18}{5}\) = \(\frac{18\times2}{5\times2}\) = \(\frac{36}{10}\) = 3.6 (iv) \(\frac{3}{2}\) = \(\frac{3\times5}{2\times5}\) = \(\frac{15}{10}\) = 1.5 (v) \(\frac{4}{5}\) = \(\frac{4\times2}{5\times2}\) = \(\frac{8}{10}\) = 0.8 (vi) \(\frac{99}{100}\) = 0.99 (vii) 3\(\frac{19}{25}\) = \(\frac{94}{25}\) = \(\frac{94\times4}{25\times4}\) = \(\frac{376}{100}\) = 3.76

Convert the following fractions into decimal numbers. (i) \(\frac{3}{10}\)(ii) 3\(\frac{1}{2}\) (iii) 3\(\frac{3}{5}\) (iv) \(\frac{3}{2}\)(v) \(\frac{4}{5}\)(vi) \(\frac{99}{100}\)(vii) 3\(\frac{19}{25}\)

Answer»

(i) \(\frac{3}{10}\) = 0.3

(ii) 3\(\frac{1}{2}\) = \(\frac{7}{2}\)

= \(\frac{7\times5}{2\times5}\)

= \(\frac{35}{10}\)

= 3.5

(iii) 3\(\frac{3}{5}\) = \(\frac{18}{5}\)

= \(\frac{18\times2}{5\times2}\)

= \(\frac{36}{10}\)

= 3.6

(iv) \(\frac{3}{2}\) = \(\frac{3\times5}{2\times5}\)

= \(\frac{15}{10}\)

= 1.5

(v) \(\frac{4}{5}\) = \(\frac{4\times2}{5\times2}\)

= \(\frac{8}{10}\)

= 0.8

(vi) \(\frac{99}{100}\) = 0.99

(vii) 3\(\frac{19}{25}\) = \(\frac{94}{25}\)

= \(\frac{94\times4}{25\times4}\)

= \(\frac{376}{100}\)

= 3.76