Jerome, Kevin, & Seth shared a submarine sandwich. Jerome ate 1/2 of the sandwich, Kevin ate 1/3 of the sandwich and Seth ate the rest. What is the ration of Jerome's share to Kevin's share to Seth's share?
1. 2:3:6
2. 2:6:3
3.3:1:2
4.3:2:1
5.6:3:2
please help!
1/3 for Seth. The ratio is 3:2:1
The least common denominator of 1/2 and 1/3 is 6.
1/2 = 3/6
1/3 = 2/6
How much does that leave for Seth?
Get a common denominator
If you have a/6 and b/6 and c/6, then a:b:c would be the ratio and a+b+c=6
To find the ratio of Jerome's share to Kevin's share to Seth's share, we need to determine the fractions of the submarine sandwich each person ate.
Jerome ate 1/2 (half) of the sandwich.
Kevin ate 1/3 (a third) of the sandwich.
Seth ate the rest, which is 1 - (1/2 + 1/3).
To calculate Seth's share, we need to find a common denominator for 2 and 3, which is 6. So, Jerome ate 3/6, and Kevin ate 2/6. To find Seth's share, subtract Jerome and Kevin's shares from 1:
1 - (1/2 + 1/3) = 1 - (3/6 + 2/6) = 1 - 5/6 = 1/6.
Therefore, the ratio of Jerome's share to Kevin's share to Seth's share is:
3/6 : 2/6 : 1/6.
To simplify this ratio, we can divide each part by 1/6, which is the smallest fraction in the ratio:
(3/6)/(1/6) : (2/6)/(1/6) : (1/6)/(1/6).
Simplifying further, we get:
3 : 2 : 1.
So, the ratio of Jerome's share to Kevin's share to Seth's share is 3:2:1. Therefore, the correct answer is option 4: 3:2:1.