A group of three friends ate dinner at a restaurant. when they settled the check, peter paid 4/5 as much as john paid, and john paid 1/3 as much as ralph paid. what fraction of the check john pay?

Answer 1

Let's assume Ralph paid x amount for the check.

John paid 1/3 of what Ralph paid, so John paid (1/3)*x = x/3.

Peter paid 4/5 of what John paid, so Peter paid (4/5)*(x/3) = (4/15)*x.

To find the fraction of the check John paid, we need to express John's payment as a fraction of the total check.

The total check amount is x, so John's payment is x/3.

Therefore, the fraction of the check John paid is (x/3)/x.

Simplifying this fraction, we get (x/3)*(1/x) = 1/3.

So, John paid 1/3 of the check.