You have 52 inches of yellow ribbon and 64 inches of red ribbon.You want to cut the ribbons into pieces of equal length with no leftovers.

Question

It’s a question of Real-life Application 

Answer 1

You need to find a common factor of 52 and 64, and make that the length of each piece.  If you want the longest possible piece, find the greatest common factor (GCF) of 52 and 64.

 

52 = 2²13

64 = 2⁶

 

GCF = 2² = 4

 

Yellow:

 

52/4 = 13 pieces each 4 inches long

 

Red:

 

64/4 = 16 pieces each 4 inches long

 

But if you do not require the maximum possible length for the pieces, there are other solutions.