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Carle is cutting pieces of string that are exactly 24 3/8 inches long. How many pieces can she cut from a ball of string that has 100 feet? 1 foot = 12 inches

Verified Answer :

bookwormz

49 pieces 

First you change the foot into inches, so it is 1200 
then you divide so it is 1200/ 24 3/8 = 49 3/13 
but the remaining doesn't count since it is not one whole piece

lyndalau86

Answer:

She can cut 49 pieces.

Step-by-step explanation:

we know that 1 foot = 12 inches. Therefore, 100 feet would be 1200 inches.

Now we know  that Carle has a ball of string that has 1200 inches and she needs to cut pieces of string that are exactly 24 3/8 inches long.

Let's rewrite the 24 3/8 inches into a fraction.

24 3/8 = \(\frac{(24)(8)+3}{8}\) = \(\frac{195}{8}\)

Now we divide 1200 by 195/8

\(\frac{1200}{\frac{195}{8} } \\\\\frac{(1200)(8)}{195} \\\\\frac{9600}{195} \\49.23\)

Therefore she can cut 49 pieces.

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