Question

Sobha had two pieces of ribbon.One piece is 720 cm long and the other piece is 900 cm.she wants to cut both these ribbons into strips of equal length that are as long as possible.how long should each strip be?

Answer 1

Answer:

180 cm.

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.

Answer 2

Answer:

180

Step-by-step explanation:

900=90×10

=90×(2×5)

=(90×2)×5

=180×5

720=90×8

=90×(2×4)

=(90×2)×4

=180×4

180 is the greatest common factor for 900 and 720.