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This series is known as the Harmonic Series and it diverges but very, very slowly.

For example, the first 100 terms sum to 5.187...., the first 1000 terms to 7.486...., and the first 1000000 terms to 14.392....

There are many proofs of the divergence of this series and an internet search of Harmonic Series will no doubt find many of them.

Q: What is 1 plus 1 half plus 1 third plus 1 quarter plus 1 fifth and so on?

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Nine twentieths, or just under one half.

one third plus one quarter plus one fifth plus one sixth plus six = 6 57/60 1/3 + 1/4 + 1/5 + 1/6 +6: = (20 + 15 + 12 + 10)/60 + 6 = 57/60 + 6 = 6 57/60

One half.

5.25, or 5 and 1 quarter (5 1/4)

A quarter plus a quarter is a half. In U.S. coins, two quarters equals 50 cents.

Related questions

37/12

Nine twentieths, or just under one half.

One and one twelfth

one third plus one quarter plus one fifth plus one sixth plus six = 6 57/60 1/3 + 1/4 + 1/5 + 1/6 +6: = (20 + 15 + 12 + 10)/60 + 6 = 57/60 + 6 = 6 57/60

One half.

one third plus one fifth is eight fifteenth

5.25, or 5 and 1 quarter (5 1/4)

11 /12

A quarter plus a quarter is a half. In U.S. coins, two quarters equals 50 cents.

The answer depends on two fifth of WHAT!

seven-tenths

One-quarter plus one-half equals three-quarters.