A pizza is to be cut into halves. Each of these halves is to be cut into sevenths. What fraction of the pizza is each of the final pieces?

Step-by-step explanation:

Given, A pizza is to be cut into halves.

Since half is represented by .

So each piece is now of the original.

if each of these halves is to be cut into sevenths, then the fraction of  final pieces would be: or we can say each half is divides into 7 pieces since there are two halves, so there will be 2 x 7 = 14 peices.

And the fraction of the pizza is each of the final pieces = .

We can write a proportion between short and long legs:

Solving for k yields