Answer :
Given : Two ribbons which are 80 cm and 90 cm long .
And to find the length of the longest piece of ribbon that she can cut ,so that no ribbon is wasted , we find HCM of 80 and 90 .
80 = 2 2 2 2 5
90 = 2 3 3 5
So,
HCM ( 80 and 90 ) = 2 5 = 10
So,
The length of the longest piece of ribbon that she can cut ,so that no ribbon is wasted = 10 cm ( Ans )