Answer:
The fraction that represents the proportion of students that go make their homework is 1/6
Step-by-step explanation:
The sum of the percentage of students is 100% = 1.
In this problem, we have that:
1/3 said they watch television
1/2 said they go to sports practice
x said they do homework.
This is a sum of fractions, and the lesser common multiple of 3 and 2 is 6.
So
[tex]\frac{1}{3} + \frac{1}{2} + x = 1[/tex]
[tex]\frac{2 + 3 + 6x}{6} = 1[/tex]
[tex]5 + 6x = 6[/tex]
[tex]6x = 1[/tex]
[tex]x = \frac{1}{6}[/tex]
The fraction that represents the proportion of students that go make their homework is 1/6
