Express the following decimals as fractions in lowest form. (i) 2.34�

1.	Express the following decimals as fractions in lowest form. (i) 2.34 (ii) 0.18 (iii) 3.56
Answer» (i) 2.34 = 2 + \(\frac{34}{100}\) = 2 + \(\frac{34÷2}{100÷2}\) = 2 + \(\frac{17}{50}\) = 2\(\frac{17}{50}\) = \(\frac{117}{50}\) (ii) 0.18 = 0 + \(\frac{18}{100}\) = \(\frac{18÷2}{100÷2}\) = \(\frac{9}{50}\) (iii) 3.56 = 3 + \(\frac{56}{100}\) = 3 + \(\frac{56÷4}{100÷4}\) = 3 + \(\frac{14}{25}\) = 3\(\frac{14}{25}\) = \(\frac{89}{25}\)

Express the following decimals as fractions in lowest form. (i) 2.34 (ii) 0.18 (iii) 3.56

Answer»

(i) 2.34 = 2 + \(\frac{34}{100}\)

= 2 + \(\frac{34÷2}{100÷2}\)

= 2 + \(\frac{17}{50}\)

= 2\(\frac{17}{50}\)

= \(\frac{117}{50}\)

(ii) 0.18 = 0 + \(\frac{18}{100}\)

= \(\frac{18÷2}{100÷2}\)

= \(\frac{9}{50}\)

(iii) 3.56 = 3 + \(\frac{56}{100}\)

= 3 + \(\frac{56÷4}{100÷4}\)

= 3 + \(\frac{14}{25}\)

= 3\(\frac{14}{25}\)

= \(\frac{89}{25}\)