Lixin has three ribbons of lengths 160 cm, 192 cm and 240 cm respectively. She wishes to

cut all the ribbons into equal number of pieces without any leftover ribbons. Find

(i) the largest possible length of each piece of ribbons,

(ii) the total number of pieces of ribbons that Lixin has cut.

(i) 16 cm.

(ii) 37 pieces in total.

Step-by-step explanation:

Through determining each lengths factors, it can be determined that every ribbon can be equally divided into 16 cm. long ribbons, so we already have our first answer. A 160 cm. long ribbon divided into 16 cm. long pieces will create 10 ribbons from that one piece; the 192 cm. long ribbon cut into the same 16 cm. lengths will equal 12 pieces of equal length; and the 240 cm. long ribbon will divide its 16 cm. lengths into 15 pieces of equal length. So the 10 pieces, plus the 12 pieces, plus the 15 pieces, will equal 37 total pieces, each 16 cm. in length.