Question

Mr.Watson is planning the seating for school play. He needs to reverse 1/3 of the seats for students, 1/6 of the seats for parents, and 1/8 of the seats for teachers and school administrators. The remainder of the seats can be used for open seating. What fraction of the seats are now left for open seating? Use fractions

Answer 1

`(9)/(24)`

Explanation:

to find the fraction of seats left we need to use the following formula

`1-(1)/(3)-(1)/(6)-(1)/(8)`=

now we need to find a common denominator, a number divisible for all the denominators in the equation, in this case is 24 since

3*8=24

6*4=24

8*3=24

so to replace we need to multiply the numerator and denominator of each fraction

1/3=
`(1*8)/(3*8)`=8/24

1/6=
`(1*4)/(6*4)` = 4/24

1/8=
`(1*3)/(8*3)` = 3/24

(and 1 = 24/24)

so replacing it would be

`(24)/(24) -(8)/(24) - (4)/(24) -(3)/(24) = (9)/(24)`