At a certain high school, the senior class is three times the size of the junior class. If 1/6 of the seniors and 1/4 of the juniors study Japanese, what fraction of the students in both classes study Japanese? Select
A) 1/4	B) 3/16	C) 1/2	D) 5/16	E) 2/3
Start by deciding on a number of students to represent the number of students in the senior class. For this example I will choose 300 students. That would make the number of students in the junior class 100. Then we can find out how many students are taking Japanese in each grade and add them together. (1/6)*300=50 and   (1/4)*100= 
<gadget id="calculator">  (1/4)*100</gadget>
<output>25</output>
25. 50+25=75. There are a total of 400 students in the junior class and senior class combined (100+300=300), and there are 75 total students in Japanese, so 75 students in Japanese / 400 total students equals 3/16 of the students in both classes that study Japanese.   Answer: 3/16
<result>B</result>
At a certain high school, the senior class is three times the size of the junior class. If 1/6 of the seniors and 1/4 of the juniors study Japanese, what fraction of the students in both classes study Japanese?