Prya spent 1/2 of the day hiking. She was lost 5/6 of the time that she was hiking.

What fraction of the day was Prya lost?

5/6 * 1/2 = 5/12

10/12

To find the fraction of the day that Prya was lost, we need to multiply the fraction of the day she spent hiking (1/2) by the fraction of time she was lost while hiking (5/6).

The formula to find the result is: Fraction of the day lost = Fraction of the day hiking × Fraction of time lost while hiking.

Let's calculate it step by step:

Fraction of the day hiking = 1/2
Fraction of time lost while hiking = 5/6

Multiply the two fractions:

(1/2) × (5/6) = (1 × 5) / (2 × 6) = 5/12

Therefore, Prya was lost for 5/12th of the day.