比 (Kanji for compare)

Onyomi

HE's comparing the two heels , to see which is better.

くら*べる

compare
★★★★☆

比較的(ひかくてき)

comparatively ★★★☆☆ NP
比較 (compare) + 的 (motivation / '-al') = 比較的 (comparatively)

comparatively (BOOBOO: you DON'T use a 'na' at the end, for some reason)

比較(ひかく) する

compare ★★☆☆☆ NP
比 (compare) + 較 (evaluate) = 比較 (compare)

a more formal word for 'compare': You'd 比べる AC/DC albums to see which one rocked the most, but you'd 比較 the GDP of developing nations.

比率(ひりつ)

ratio ★☆☆☆☆
比 (compare) + 率 (ratio) = 比率 (ratio)