Question

Students at Roosevelt Middle School had to have their parents sign a form. Two-thirds of the students took the form home, but only one-eighth of the students who

took it home got the form signed. What fraction of the students got the form signed?
5/ 12
of the students
1/3 of the students
1/12 of the students

Answer 1

1/12 of the students

Explanation:

You can simply multiply the fractions together.

2/3 * 1/8 = 2/24

2/24 = 1/12

Answer 2

1/12 of the students

Explanation:

Let's break down the problem step by step:

1. Two-thirds of the students took the form home:

If
`\sf (2)/(3)` of the students took the form home, this means that
`\sf (1)/(3)` did not take it home.

2. One-eighth of the students who took it home got the form signed:

If
`\sf (1)/(8)` of the students who took the form home got it signed, this means that
`\sf (7)/(8)` did not get it signed.

Now, to find the fraction of all students who got the form signed, we need to consider the fraction that both took the form home and got it signed. This is the product of the fractions from steps 1 and 2:

`\sf \left( (2)/(3) \right) * \left( (1)/(8) \right)`

Multiply the numerators together and the denominators together:

`\sf (2 * 1)/(3 * 8) = (2)/(24)`

Now, simplify the fraction:

`\sf (2)/(24) = (1)/(12)`

So,
`\sf (1)/(12)` of the students at Roosevelt Middle School got the form signed.