The average (mean) of three numbers is 5/6. Two of the three numbers are 1/2 and 2/3. What is the third number in lowest terms?

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A
solution to this problem will appear along with
next month’s problem.

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February's
Problem

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A large cube 2 meters along
each edge is cut into small cubes that are 2 centimeters
along each edge. How many small cubes are there?

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METHOD:
Determine the number of cubes on an edge 2 m = 100 × 2 cm. So there are 100 small
cubes along each edge. Since a cube is three dimensional,
the large cube is cut into 100 × 100 ×
100 = 1,000,000 small cubes.

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January's
Problem

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What
is the missing number?

6+6+6+6+6+6+6+6 = ?x3

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METHOD
1: Find the sum: The sum of the eight 6's is 48. 48 ÷
3 = 16. The missing number is 16.

METHOD
1: Relate 3's to 6's:
Since 3 is half of 6, adding eight 6's is equal
to adding sixteen 3's. The missing number is 16.

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