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

Respuesta :

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

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

Now we divide 1200 by 195/8

[tex]\frac{1200}{\frac{195}{8} } \\\\\frac{(1200)(8)}{195} \\\\\frac{9600}{195} \\49.23[/tex]

Therefore she can cut 49 pieces.