Calculate Remaining Height: 1/5 Daily Progress Over 3 Days

Harry likes to climb mountains. Every day, he ascends $\frac{1}{5}$ of the mountain's total height.

How much further must Harry climb to reach the peak after climbing for three days?

To solve this problem, we must calculate how much of the mountain Harry has not yet climbed after three days.

Let's break it down step-by-step:

• Step 1: Calculate the total amount of mountain climbed in three days.
  Harry climbs $\frac{1}{5}$ of the mountain each day. Therefore, in three days, he climbs:
  $\frac{1}{5} \times 3 = \frac{3}{5}$
• Step 2: Determine how much more Harry needs to climb.
  The whole mountain is represented by 1 (or $\frac{5}{5}$). To find out how much further Harry must climb, subtract the amount he has already climbed from the whole:
  $1 - \frac{3}{5} = \frac{5}{5} - \frac{3}{5} = \frac{2}{5}$

Therefore, the solution to the problem is that Harry must climb an additional $\frac{2}{5}$ of the mountain to reach the peak.