Tip Calculator

Step-by-step solution

1. 1

   Identify the values

   The bill, tip percent and party size — everything stays exact.

   • bill = 171/2
   • tip = 18%
   • people = 3
2. 2

   Turn the tip percent into a fraction

   First write 18% as an exact fraction.

   $$18\% = \frac{18}{100} = \frac{9}{50}$$
3. 3

   Compute the tip amount

   The tip is the bill times that fraction: 15.39.

   $$\frac{171}{2} \cdot \frac{9}{50} = \frac{1539}{100}$$
4. 4

   Add the tip to the bill

   Bill plus tip: 100.89.

   $$\frac{171}{2} + \frac{1539}{100} = \frac{10089}{100}$$
5. 5

   Split between the people

   Split 3 ways: each person pays 33.63, of which 5.13 is tip.

   $$\frac{\frac{10089}{100}}{3} = \frac{3363}{100}$$
6. 6

   Result

   Total 100.89 — each person pays 33.63.

   $$\frac{\frac{10089}{100}}{3} = \frac{3363}{100}$$