Question

If there's 15 players total 1/3 are wearing red shoes 2/5 or wearing blue shoes and everyone else is wearing black shoes what is the fraction of people with black shoes

Answer 1

Answer:

$\frac{4}{15}$ is the fraction of people wearing with black shoes.

Step-by-step explanation:

Given:

If there's 15 players total, 1/3 are wearing red shoes, 2/5 are wearing blue shoes and everyone else is wearing black shoes.

Now, to find the fraction of people with black shoes.

Total players = 15.

Fraction of people wearing red shoes = $\frac{1}{3}.$

So, number of people are wearing red shoes:

$\frac{1}{3} \times 15\\\\=5.$

Fraction of people wearing blue shoes = $\frac{2}{5} .$

Thus, number of people wearing blue shoes:

$\frac{2}{5} \times 15\\\\=6.$

And rest are wearing black shoes.

Now, to get the number of people wearing black shoes by subtracting number of people are wearing red shoes and blue shoes from the total number of players:

$15-5-6\\\\=15-11\\\\=4.$

Thus, the fraction of people wearing black shoes:

$\frac{Number\ of\ people\ wearing\ black\ shoes}{Total\ number\ of\ players}$

= $\frac{4}{15} .$

Therefore, $\frac{4}{15}$ is the fraction of people wearing with black shoes.