fred is serving vegetables at a soup kitchen. he has 12 carrot sticks and 18 baby potatoes that he wants to…
fred is serving vegetables at a soup kitchen. he has 12 carrot sticks and 18 baby potatoes that he wants to divide evenly, with no food left over. what is the greatest number of plates fred can prepare? plates
Answer
Explanation:
Step1: Find the GCD of 12 and 18
We need to find the greatest - common divisor (GCD) of 12 and 18. Prime - factorize 12 and 18. $12 = 2\times2\times3$ $18 = 2\times3\times3$
Step2: Identify common factors
The common factors of 12 and 18 are 2 and 3.
Step3: Calculate the GCD
The GCD is the product of the common prime factors. So, $GCD(12,18)=2\times3 = 6$.
Answer:
6