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Answer :
To solve the problem, follow these steps:
1. Liliana surveyed a total of [tex]$20$[/tex] students.
2. Each student provided the number of hours they used their computer per week. When reviewing the data, we notice that [tex]$2$[/tex] students reported [tex]$0$[/tex] hours, meaning they did not use their computers at all.
3. Therefore, the number of students who used their computers (hours [tex]$> 0$[/tex]) is calculated by subtracting the non-users from the total number of students:
[tex]$$20 - 2 = 18.$$[/tex]
4. The ratio of the number of students who used their computers to the total number of students is:
[tex]$$\frac{18}{20}.$$[/tex]
5. To simplify [tex]$\frac{18}{20}$[/tex], divide both the numerator and the denominator by the greatest common divisor, which is [tex]$2$[/tex]:
[tex]$$\frac{18 \div 2}{20 \div 2} = \frac{9}{10}.$$[/tex]
Thus, the ratio of the students who used their computers to the total number surveyed is:
[tex]$$\boxed{\frac{9}{10}}.$$[/tex]
1. Liliana surveyed a total of [tex]$20$[/tex] students.
2. Each student provided the number of hours they used their computer per week. When reviewing the data, we notice that [tex]$2$[/tex] students reported [tex]$0$[/tex] hours, meaning they did not use their computers at all.
3. Therefore, the number of students who used their computers (hours [tex]$> 0$[/tex]) is calculated by subtracting the non-users from the total number of students:
[tex]$$20 - 2 = 18.$$[/tex]
4. The ratio of the number of students who used their computers to the total number of students is:
[tex]$$\frac{18}{20}.$$[/tex]
5. To simplify [tex]$\frac{18}{20}$[/tex], divide both the numerator and the denominator by the greatest common divisor, which is [tex]$2$[/tex]:
[tex]$$\frac{18 \div 2}{20 \div 2} = \frac{9}{10}.$$[/tex]
Thus, the ratio of the students who used their computers to the total number surveyed is:
[tex]$$\boxed{\frac{9}{10}}.$$[/tex]
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