Rahim, Karim and James paid a total TK. 45 for their dinner at a restaurant . If Rahim paid of the total amount, Karim paid TK. 17 and James paid the rest then what fraction of the total amount did James pay ?

As per given condition,

Total amount paid: TK 45

Karim's payment: TK 17

Rahim's payment: Assume Rahim paid $\frac{a}{b}$​ of the total amount.

James's payment: The rest of the amount after Rahim and Karim have paid.

First, let's determine the fraction that Rahim paid. Let’s assume Rahim paid $\frac{2}{5}$​ of the total amount (for example purposes).

Rahim's payment: $R = \frac{2}{5}\times 45 = 18$

Now we calculate how much James paid: Total amount − (Rahim’s payment + Karim’s payment) = 45 − (18 + 17) = 45 − 35 = 10

James paid TK 10.

Now we find what fraction of the total amount James paid: $\frac{James’s payment}{Total amount}=\frac{10}{45}=\frac{2}{9}$​

So, James paid $\frac{2}{9}$​ of the total amount.

So, the answer is 2.