|1/100-1/99|+|1/101-1/100|

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|1/100-1/99|+|1/101-1/100|
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|1/100-1/99|+|1/101-1/100|
|1/100-1/99|+|1/101-1/100|

|1/100-1/99|+|1/101-1/100|
| 1/100 - 1/99 | + | 1/101 - 1/100 |
= 1/99 - 1/100 + 1/100 - 1/101
= 1/99 - 1/101
= 2/9999

|1/100-1/99|+|1/101-1/100|
=1/99-1/100+1/100-1/101
=1/99-1/101
=2/9999
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