8. 11/12 gallons of paint
10. 23/24 gallons of drink mix
Explanation:
Note: When denominators are different, you must find a common denominator between the two fractions by multiplying both values
Ex: 1/3 and 1/4 = 4/12 and 3/12 common denominator is 12
8. Find the common denominator, 3/4 and 1/6, multiple the first denominator, 4, with three to get 12. Now multiply the numerator by the same number. 9/12 is our new fraction. Since the new denominator is 12, we have to get the other denominator to be 12 as well. Multiply 6 from 1/6 by 2 to get 12. Now do the same with the numerator. 2/12 is our new fraction, and all that's left is to add them together to find how much paint Damon has in total, which is 11/12 gallons.
10. Same concept as the above, 1/12 and 7/8 have a common denominator of 24, multiply 1 and 12 by two to get 2 and 24. Multiply 7 and 8 by 3 to get 21 and 24. 2/24 and 21/24 are our new fractions to add together. 23/24 is our answer.
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