Take a random unit fraction and call it fraction number one. Now take another random unit fraction that is larger than 'fraction number one' and call it 'fraction number two'. Take the denominators of 'fraction number one' and 'fraction number two' and find the difference. Note this down with the variable 'a'. Then, you can divide either 'fraction number one's' denominator or 'fraction number two's' denominator by 'a' and then call the resultant number 'b'. Multiply 'b' by the denominator of the fraction you did not divide by 'a'. Take this number and make it the denominator of a unit fraction and call this 'fraction number three'. Now, put all of the fractions in the following equation:
'fraction number one' = 'fraction number two' + 'fraction number three'.
This equation will always be true.
Solution
Keep It Simple Toby Benedict and William
Problem / game
First name
Toby, Benedict and William
School
Colyton Grammar School
Country
Age
11