Question

Give a proper fraction whose numerator and denominator add up to $10$.

Answer 1

Finding the proper function :

Fraction is the ratio of numerator and denominator.

Given: When the numerator and denominator are added up, the summation will be up to $10$.

We have$9$ distinct digits : $1,2,3,4,5,6,7,8,9$

Pairs having summation $10$ are : $(1,9),(2,8),(3,7),(4,6),(5,5)(6,4),(7,3),(8,2),(9,1)$.

These pairs can give us the required proper function, So we have $9$ possible fractions that satisfy the given conditions.

We can choose any of them.

Hence, $\frac{3}{7}$ is the proper fraction whose numerator and denominator add up to $10$.