question_answer 1)

Nandini's house is \[\frac{\text{Remainder}}{\text{Divisor}}\] from her school. She walked some distance and then took a bus for \[\frac{20}{3}\] to reach the school. How far did she walk?

Answer:

Given, distance of school from Nandini's house \[\begin{align} & 3\overline{)20(}6 \\ & \,\,\,\,\,\frac{18}{\underline{\,2\,\,\,}} \\ \end{align}\] Distance covered by Nandini by bus \[\therefore \] \[\frac{20}{3}=6\frac{2}{3}\]Distance covered by Nandini by walking \[\frac{11}{5}\] LCM of 10 and 2 = 10 \[\begin{align} & 5\overline{)11(}2 \\ & \,\,\,\frac{10}{\underline{1\,\,\,\,\,}} \\ \end{align}\]Hence, she walked \[\frac{2}{5}km\].