Question

The ticket sales for Fist Bump are as follows:

On Monday 1 /7 of the tickets are sold
On Tuesday 1/3 of the tickets are sold
On Wednesday 2/7 of the tickets are sold

What fraction of tickets was sold by Thursday?

Answer 1

Notice that the denominators are 3 and 7, which are factors of 21.

So express all the fractions with denominator 21:

On Monday
`(1)/(7) = (1)/(7) * (3)/(3) = (3)/(21)` are sold
On Tuesday
`(1)/(3) = (1)/(3) * (7)/(7) = (7)/(21)` are sold
On Wednesday
`(2)/(7) = (2)/(7) * (3)/(3) = (6)/(21)` are sold


by Thursday
`(3)/(21)+(7)/(21)+(6)/(21) = (3+7+6)/(21)= (16)/(21)` of the tickets was sold.


Answer:
`(16)/(21)`