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Nandini's house is \( \frac{9}{10} \mathrm{~km} \) from her school. She walked some distance and then took a bus for \( \frac{1}{2} \mathrm{~km} \) to reach the school. How far did she walk?
Given:
Nandini's house is \( \frac{9}{10} \mathrm{~km} \) from her school. She walked some distance and then took a bus for \( \frac{1}{2} \mathrm{~km} \) to reach the school.
To do:
We have to the distance she walked.
Solution:
Distance between the school and house $= \frac{9}{10}\ km$
Distance traveled by bus $= \frac{1}{2}\ km$
This implies,
Distance walked by Nandini $=$ Total distance between the school and house $-$ Distance traveled by bus
$= \frac{9}{10}-\frac{1}{2}$
$=\frac{9\times1-1\times5}{10}$
$= \frac{9-5}{10}$
$= \frac{4}{10}$
$= \frac{2}{5}\ km$
Therefore, the distance walked by Nandini is
$\frac{2}{5}\ km$.