〜より〜のほうが
A is more … than B
B より A のほうが + adjective
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To make the winner of a comparison clear, mark it with のほうが: 犬より猫のほうが好きです, "I like cats more than dogs". ほう (方) means "side", so this is "the cat side is liked".
It's the natural answer to a どちら question: 夏と冬と、どちらが好きですか。 —— 冬のほうが好きです.
After a verb, drop the の: 書くより話すほうが簡単です, "speaking is easier than writing".
ほう is often written in kanji, 方; both spellings are accepted here. The same ほう appears in ほうがいい (advice), from a few points back: it's the "side" that's better.
Examples
犬より猫のほうが好きです。
I like cats more than dogs.
バスより電車のほうが速いです。
The train is faster than the bus.
夏より冬のほうが好きです。
I prefer winter to summer.
東京より京都のほうが静かです。
Kyoto is quieter than Tokyo.
書くより話すほうが簡単です。
Speaking is easier than writing.