Question

9.21

`9.21 / 0.4 =`
0.4?

Answer 1

let us do it by converting the 0.4 to a fraction, it has one decimal, so we'll use one zero at the denominator.

and 9.21 to a fraction as well, two decimals, thus two zeros at the denominator then,


`\bf 9.21/ 0.4\\\\ -------------------------------\\\\ 0.\underline{4}\implies \cfrac{04}{1\underline{0}}\implies \cfrac{4}{10}\implies \cfrac{2}{5}\qquad \qquad \qquad \qquad 9.\underline{21}\implies \cfrac{921}{1\underline{00}}\\\\ -------------------------------\\\\ 9.21/ 0.4\implies \cfrac{921}{100}/ \cfrac{2}{5}\implies \cfrac{921}{100}\cdot \cfrac{5}{2}\implies \cfrac{921}{20}\cdot \cfrac{1}{2}\implies \cfrac{921}{40} \\\\\\ 23(1)/(40)\implies 23.025`