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 $\frac{1}{7} = \frac{1}{7} * \frac{3}{3} = \frac{3}{21}$ are sold
On Tuesday $\frac{1}{3} = \frac{1}{3} * \frac{7}{7} = \frac{7}{21}$ are sold
On Wednesday $\frac{2}{7} = \frac{2}{7} * \frac{3}{3} = \frac{6}{21}$ are sold


by Thursday $\frac{3}{21}+\frac{7}{21}+\frac{6}{21} = \frac{3+7+6}{21}= \frac{16}{21}$ of the tickets was sold.


Answer: $\frac{16}{21}$