What is the largest possible value for the sum of two fractions such that each of the four 1 digit prime numbers occurs as one of the numerators or denominators?
Hello, Godfather!
Here's one approach . . .What is the largest possible value for the sum of two fractions such that
each of {2, 3, 5, 7} occurs as one of the numerators or denominators?
The sum of two fractions is: .
For the largest value, we want the smallest denominator.
. . This occurs for: . .(or vice versa).
We have: .
Then we have two choices: .
If
If
Therefore: . .is the largest sum.