Question

In a school, $35$ out of every $63$ children participated in ‘Save wildlife’ campaign organised by the school authorities. Calculate the fraction of student participated in the campaign and state whether the obtained fraction is terminating or non - terminating and recurring decimal expansion.

Answer 1

ATQ,
Total number of children $=63$
Also, total number of student participants in the campaign $=35$
Fraction $=\frac{Totalnumberofstudentparticipantsinthecampaign}{Totalnumberofchildren}=\frac{35}{63}.$
Therefore, a fraction of students participated in the campaign $\frac{35}{63}.$
Decimal expansion of $\frac{35}{63}=0.55555555555=$$0$.$5$
Here, 0.$5$is a non terminating and recurring decimal expansion.
Therefore, decimal form of $\frac{35}{63}$ i.e
0.$5$is a non terminating and recurring decimal expansion.