Question

For a birthday party you need to cut two submarine sandwiches into smaller pieces of equal length for your friends.one sandwich is 28 inches long and the other is 36 inches long.what is the greatest possible length of the pieces?
The greatest possible length of the pieces is_____inches.

Answer 1

Answer:

4 inches

Step-by-step explanation:

Let us assume that there are few numbers of friends.

Therefore, 28 inches of one sandwich has to be divided into equal few pieces and another 36 inches of the sandwich has to be divided into equal few pieces.

We have to calculate the greatest possible length of the pieces.

Therefore, the greatest length of each piece will be a common factor of 28 and 36.  

Now, we have 28 =2×2×7 and 36 =2×2×3×3. Hence, the greatest possible factor is 2×2 = 4.

Therefore, greatest possible length of each piece of the sandwich is 4 inches. (Answer)