Question

Write each amount as a fraction and then express it as percentage. 105 children out of 200 voted in favour of more sports at school.

Answer 1

Hint: We will express the number of children who voted in favour of more sport at school as a fraction. The percentage of students who voted in favour of more sport at school can be obtained by multiplying the fraction by 100.

Complete step-by-step answer:
A fraction is a number which represents a part of a group. It is written as \[\dfrac{a}{b}\], where \[a\] is called the numerator and \[b\] is called the denominator. The group is divided into \[b\] equal parts. The fraction \[\dfrac{a}{b}\] represents \[a\] out of \[b\] equal parts of the group.
It is given that 105 out of 200 children voted in favour of more sport at school. This means that from a group of 200 children, 105 children are in favour of more sport at school.
This can be expressed as a fraction with numerator 105 and denominator 200.
Therefore, the number of children who voted in favour of more sport at school can be written as the fraction \[\dfrac{{105}}{{200}}\].
A percentage is a number represented as a fraction with 100 as the denominator. It helps in comparing fractions with different denominators. Percent is represented by the symbol \[\% \].
A fraction can be converted into a percentage by multiplying the fraction by 100.
The number of students who voted in favour of more sport at school can be expressed as a percentage by multiplying the fraction \[\dfrac{{105}}{{200}}\] by 100.
\[ \dfrac{{105}}{{200}} \times 100 = \dfrac{{105}}{2}\% \\
   = 52.5\% \\\]

Therefore, \[\dfrac{{105}}{{200}}\] or \[52.5\% \] of students voted in favour of more sports at school.

Note: In these types of problems, the given statement should be written as a fraction. The percentage can be obtained by multiplying the fraction by 100 and then dividing the numerator by the denominator.