Convert the following fractions into decimal numbers. (i) 3/10 (ii) 3(1/2) (iii) 3(3/5)

Question

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 1

(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