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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.
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Mar 5, 2018
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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.
Mathematics
middle-school
Christoph Kempen
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Christoph Kempen
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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]
Hu Shenghao
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Mar 8, 2018
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Hu Shenghao
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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
Colette
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Mar 10, 2018
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Colette
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