Question

you have 64 inches of blue fabric and 96 inches of green fabric. you want to cut the fabric into pieces of equal length with no leftovers. what is the greatest length of the pieces that you can make?

Answer 1

Let the length of the piece be x.

Now we know that there cannot be leftovers, thus x will have to divide both 64 and 96 without leaving any remainder, which means that x must be a factor of both 64 and 96 i.e a common factor of the two numbers.

Since the length asked is the greatest length , we are required to find the greatest common factor.

Now, 64 can be written as: $64=2^6=2\times 2^5$ and $96=3\times 32=3\times 2^5$.

Therefore, the Greatest Common Factor is $2^5=32$.

Thus the greatest length of the pieces that you can make is 32 inches.

Answer 2

Answer:

96

Step-by-step explanation: