Question

Write the following rational numbers in decimal form.

$\left(\mathrm{i}\right)\frac{127}{200}\left(\mathrm{ii}\right)\frac{25}{99}\left(\mathrm{iii}\right)\frac{23}{7}\left(\mathrm{iv}\right)\frac{4}{5}\left(\mathrm{v}\right)\frac{17}{8}$

Answer 1

$\left(\mathrm{i}\right)\frac{127}{200}=\frac{127}{200}\times \frac{5}{5}=\frac{635}{1000}=0.635$

$\left(\mathrm{ii}\right)\frac{25}{99}=\frac{4}{4}\times \frac{25}{99}=\frac{1}{4}\times \frac{100}{99}=\frac{1}{4}\times 1.010101...=0.2525...=0.\overline{25}$​

$\left(\mathrm{iii}\right)\frac{23}{7}=3.2857142857...=3.\overline{285714}$​

$\left(\mathrm{iv}\right)\frac{4}{5}\times \frac{2}{2}=\frac{8}{10}=0.8$​

$\left(\mathrm{v}\right)\frac{17}{8}=\frac{17}{8}\times \frac{125}{125}=\frac{2125}{1000}=2.125$​