Answer:
(a) We have, \[0.4=0+\frac{4}{10}\] Lowest form \[0.3=\frac{3}{10}\] [\[0.4=\frac{4}{10}\]HCF of 6 and 10 = 2] \[\therefore \] Fraction of \[\frac{4}{10}>\frac{3}{10}\] and lowest form \[\therefore \] (b) We have, \[0.07=0+0\times \frac{1}{10}+7\times \frac{1}{100}\] [multiplying by 10 in numerator and denominator of 2] \[0.02=0+0\times \frac{1}{10}+2\times \frac{1}{100}\] Lowest form \[0.07=\frac{7}{100}\] [\[0.02=\frac{2}{100}\] HCF of 25 and 10 = 5] \[\therefore \] Fraction of \[\frac{7}{100}>\frac{2}{100}\] and lowest form \[\therefore \] (c) We have, \[3=3+\frac{0}{10}+\frac{0}{100}\] \[0.8=0+\frac{8}{10}+\frac{0}{100}\] Fraction of 1.0 as well as lowest form = 1 (d) We have, \[\therefore \] [multiplying by 10 in numerator and denominator of 3] \[0.5=0+\frac{5}{10}\] Lowest form \[0.05=0+0\times \frac{1}{10}+\frac{5}{100}\] [\[0.5=\frac{5}{10}\]HCF of 38 and 10 = 2] \[0.05=\frac{0}{10}\]Fraction of \[\therefore \] and lowest form \[\frac{5}{10}>\frac{0}{10}\] (e) We have, \[\therefore \] [multiplying by 10 in numerator and denominator of 13] \[1.23=1+\frac{2}{10}+\frac{3}{100}\] Lowest form \[1.2=1+\frac{2}{10}+\frac{0}{100}\] [\[1.23=\frac{3}{100}\] HCF of 137 and 10 = 1] \[1.2=\frac{0}{100}\]Fraction of \[\therefore \]and lowest form \[\frac{3}{100}>\frac{0}{100}\] (f) We have, \[\therefore \] [multiplying by 10 in numerator and denominator of 21] \[0.099=0+\frac{0}{10}+\frac{9}{100}+\frac{9}{1000}\] Lowest form \[0.19=0+\frac{1}{10}+\frac{9}{100}+\frac{0}{1000}\] [\[0.099=\frac{0}{10}\]HCF of 212 and 10 = 2] \[0.19=\frac{1}{10}\]Fraction of \[\therefore \]and lowest form\[\frac{1}{10}>\frac{0}{10}\] (g) We have, \[\therefore \] [multiplying by 10 in numerator and denominator of 6] \[1.5=1+\frac{5}{10}+\frac{0}{100}\] Lowest form \[1.50=1+\frac{5}{10}+\frac{0}{100}\] [\[1\therefore 1\]HCF of 64 and 10 = 2] \[1\therefore 1\] Fraction of \[\frac{1}{100}\]and lowest form \[\frac{1}{100}.\]
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