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

Convert feet to inches
100ft=12*100 =1200 inches

convert 24 and 3/8 to improper fraction
24 and 3/8=24+3/8=192/8+3/8=195/8
195/8 times number of pieces=1200
times bothsides by 8/195 to clear fraction (195/8 times 8/195=1560/1560=1)
number of pieces=9600/195
number of pieces=49.23someting
she can cut 49 complete pieces and 1 partial piece

she can cut 50 pieces but 1 of them is shorter than 24 and 3/8 and therefor doesn't count

she cut 49 pieces