Pizza Fraction Calculation: Uneaten Portion

The problem asks for the fraction of pizza left after two people eat portions sequentially.

Initial Pizza Eaten by Krishna

Krishna eats $\\frac{1}{3}$ of the whole pizza. The fraction of pizza remaining after Krishna eats is:

$ 1 - \frac{1}{3} = \frac{3}{3} - \frac{1}{3} = \frac{2}{3} $

So, $\\frac{2}{3}$ of the pizza remains.

Portion Eaten by Devshya

Devshya eats $\\frac{2}{5}$ of the *remaining* pizza. The remaining pizza is $\\frac{2}{3}$. The fraction Devshya eats is:

$ \frac{2}{5} \times \frac{2}{3} = \frac{2 \times 2}{5 \times 3} = \frac{4}{15} $

Devshya eats $\\frac{4}{15}$ of the original pizza.

Final Uneaten Pizza Fraction

To find the fraction of pizza left uneaten, subtract the portion Devshya ate from the portion remaining after Krishna ate:

$ \frac{2}{3} - \frac{4}{15} $

To subtract these fractions, find a common denominator, which is 15:

$ \frac{2}{3} = \frac{2 \times 5}{3 \times 5} = \frac{10}{15} $

Now, perform the subtraction:

$ \frac{10}{15} - \frac{4}{15} = \frac{10 - 4}{15} = \frac{6}{15} $

Simplifying the Result

The fraction $\\frac{6}{15}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 3:

$ \frac{6 \div 3}{15 \div 3} = \frac{2}{5} $

Therefore, the fraction of the pizza left uneaten is $\\frac{2}{5}$.