Provide a counterexample for the conjecture: The sum of two fractions is a whole number number
1/100 + 1/100
To provide a counterexample for the conjecture that the sum of two fractions is always a whole number, we need to find two fractions whose sum is not a whole number.
Let's consider the fractions 1/3 and 1/2. To add these fractions, we need to find a common denominator. In this case, the least common multiple of 3 and 2 is 6.
Converting both fractions to have the same denominator, we get 2/6 and 3/6 respectively. Adding these fractions gives us:
2/6 + 3/6 = 5/6
The result, 5/6, is not a whole number. Therefore, this counterexample disproves the conjecture that the sum of two fractions is always a whole number.