13. Mira has two pieces of length 72 cm and 90 cm respectively. She wants to cut both pieces into smaller pieces of equal length that are as long as possible. What would be the length of each smaller piece?
Answers
Answered by
1
Answer:
900=90×10=90×(2×5)=(90×2)×5=180×5 and
720=90×8=90×(2×4)=(90×2)×4=180×4
180 is the greatest common factor for 900 and 720.
It is obvious that both ribbons can be cut into 90-cm long strips (10 strips for the 900-cm ribbon and 8 strips for the 720-cm ribbon), but because 10 and 8 are even, you could tie together pieces in pairs to make 5 tied-up strips from the 900-cm ribbon, and 4 from the 720-cm ribbon. Better yet, just cut 5 180-cm strips from the 900-cm ribbon, and 4 180-cm strips from the 720-cm ribbon.
Similar questions