Answer:
[tex]\frac{1}{15}[/tex]
Step-by-step explanation:
Number of empty seats = 16
Total number of seats = 240
To find : ratio of empty seats to total number of seats as a fraction in simplest form.
A fraction [tex]\frac{x}{y}[/tex] is said to be in simplest form if [tex]HCF\,(a,b)=1[/tex]
Solution:
ratio of empty seats to total number of seats = Number of empty seats / Total number of seats = [tex]\frac{16}{240}[/tex]
Here, [tex]\frac{16}{240}[/tex] is not in simplest form , so we need to solve it further .
[tex]16=2\times2 \times 2\times 2=2^4[/tex]
[tex]240=2\times 2\times 2\times 2\times 3\times 5=2^4\times 3\times 5[/tex]
We know that HCF is greatest common factor , so [tex]HCF(16,240)=HCF(2^4\,,\,2^4\times 3\times 5)=2^4=16[/tex]
Therefore,
[tex]\frac{16}{240}=\frac{1}{15}[/tex]
