Eggshells are fragile.

Literal

Egg [possessive-の] shell [topic-は] break-easy.

壊れる is intransitive 'to break / become broken' — 壊れやすい = 'breaks easily / fragile.' The ~やすい suffix attaches to a verb's masu-stem to form an i-adjective meaning 'prone to X-ing.' A perfect everyday example of fragility.