Jessica drank 1/8 gallon of orange juice and her brother Sam drank 1/3 of the same gallon. How much of the gallon of orange juice did they drink?

a) 1/11 gal.

b) 2/11 gal.

c) 11/24 gal.

d) 15/24 gal.

Okay, to first find how many the two drank you have to add the fractions together. The lcm of 8 and 3 is 24,

1/3 x 8/8 = 8/24

1/8 x 3/3 = 3/24

so you add 3/24 and 8/24, which gets you 11/24 gal, [c]

To do this problem make both of them have the same denomnator. Try to find the smallest number by seeing the smallest multiple 8 and 3 have in common. This would be 24 since thats the smallest number they have in common.

For 1/8 to get 24 in the denominator multiply top and bottom by 3 to get 3/24

For 1/3 to get 24 in the denomnator multiply top and bottom by 8 to get 8/24

We need 24 in both denominators to add them became same denominators allow us to add the numerators

3/24 + 8/24=11/24 since 8+3=11 in the denominator

The answer is c