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cluponka [151]
3 years ago
11

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 ea

ch 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
Mathematics
1 answer:
Nookie1986 [14]3 years ago
7 0

Answer:

D: 768

Step-by-step explanation:

First, he divides a piece of paper in half.

1 \div  \frac{1}{2}  = 2

He gets two pieces.

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

2 \div  \frac{1}{3}  = 6

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

6 \div  \frac{1}{8}  = 48

Lastly, he divides each piece into 16 parts.

48 \div  \frac{1}{16}  = 768

He has 768 pieces in the end. (D)

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The first method that came up to my mind is just dividing denominators.

For A) you can do 72 divided by 18 which would give you 4. Then you can divide the given numerator with the answer you got from dividing the denominators. This would be 8 divided by 4 which would give you two. This means that 2/18 is equal to 8/72. You can check by simplifying the fraction. Both 2/18 and 8/72 equal 9 when simplified, therefore correct.

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