What is the difference between 「読んでいます」and　「読みます」?
They seem very similar. Is one more polite, or imply something a bit different? Thank you!

Question

Answer

読んでいます =  I am reading
読みます = I read

There are slight differences in usage from that of English, but you'll pick that up as you go along.

Answer

過去(preterit)　　　　　　  　　　　今(now)　　　　　　　　　　　　 未来(future)
　　　　|→→→→→→→→→→→→|→→→→→→→→→→→→|
 　　読む(read)　　　　    　　       　　    読む(read)　　　　　　　　  　　　読む(read)　　　⇒「読んでいる(reading)」

読んでいない(not read) 　読んでいない(not read) 　　　　　 読む(read)　　　⇒「読みます(read)」

Answer

1.読んでいます。
私は今本を読んでいます。I'm reading a book now. 
私は昨日からその本を読んでいます。I have been reading the book since yesterday. 
2.読みます
私は毎日本を読みます。
I read a book everyday. 
私は明日までにその本を読みます。
I'll read the book by tomorrow.

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