Can you find two unit fractions whose sum is 1/6? how many different pairs of unit fractions can you find whose sum is 1/6?

1/6 represents a fraction that has been reduced. The original answer will contain a multiple of 6 as the denominator. Since unit fractions always have the number 1 as a numerator you can write the problem this way: 1/x + 1/y = 2/xy We know the final answer is 1/6 so we can say: 2/xy=1/6 Solve for xy: xy=6/1 x 2/1 xy=12 Final answer (2/xy) is 2/12 which reduces to 1/6 There are only two possible combinations of unit fraction that could equal 1/16 they are: 1/12 + 1/12 = 2/12 (reduces to 1/6) 1/18 + 1/9 = 3/18 (reduces to 1/6)