Question

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

Answer 1

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 2

She can cut 49 pieces.

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 =
`((24)(8)+3)/(8)` =
`(195)/(8)`

Now we divide 1200 by 195/8

`(1200)/((195)/(8) ) \\\\((1200)(8))/(195) \\\\(9600)/(195) \\49.23`

Therefore she can cut 49 pieces.