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  1. Average of integers between two fractions ●○○○○ 10 ptsWhat is the average of all the integer values of MM such that M56\frac{M}{56} is strictly between 37\frac{3}{7} and 14\frac{1}{4}?
  2. Adding unlike fractions ●○○○○ 10 ptsEvaluate 18+512\frac{1}{8} + \frac{5}{12} without using a calculator. Give your answer as a decimal rounded to two decimal places.
  3. Adding a fraction and a mixed number ●○○○○ 10 ptsFind 34+213\frac{3}{4}+2\frac{1}{3} as a decimal. Round to two decimal places.
  4. Distinct candy flavors by percent red ●●○○○ 20 ptsFour red candies and three green candies can be combined to make many different flavors. Two flavors are different if their percent red is different, so 3 red / 0 green is the same flavor as 2 red / 0 green, and 4 red / 2 green is the same flavor as 2 red / 1 green. If a flavor is made using some or all of the seven candies (at least one candy), how many different flavors are possible?