juan cuts a piece of paper in half. he then cuts each half into thirds and each of those pieces into eights. finally, he cuts each piece into sixteenths. how many pieces of paper does juan have when he is finished cutting?


a. 29

b. 48

c. 384

d. 768

e. 1536

Respuesta :

Answer:

D: 768

Step-by-step explanation:

First, he divides a piece of paper in half.

[tex]1 \div \frac{1}{2} = 2[/tex]

He gets two pieces.

Next, he cuts each of the pieces into three parts.

[tex]2 \div \frac{1}{3} = 6[/tex]

Thirdly, he cuts each of the 6 pieces into 8 pieces.

[tex]6 \div \frac{1}{8} = 48[/tex]

Lastly, he divides each piece into 16 parts.

[tex]48 \div \frac{1}{16} = 768[/tex]

He has 768 pieces in the end. (D)