Reciprocal of 9901
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Theorem
The reciprocal of $9901$ is:
- $\dfrac 1 {9901} = 0 \cdotp \dot 00010 \, 09998 \, 9 \dot 9$
Proof
Performing the calculation using long division:
0.0001009998990001... -------------------------------------------- 9901)1.0000000000000000... 9901 ---- 99000 89109 ----- 98910 89109 ----- 98010 89109 ----- 89010 79208 ----- 98020 89109 ----- 89110 89109 ----- 10000 9901 ----- ....
$\blacksquare$