Reciprocal of 9091
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Theorem
The reciprocal of $9091$ is:
- $\dfrac 1 {9091} = 0 \cdotp \dot 00010 \, 9998 \dot 9$
Proof
Performing the calculation using long division:
0.00010999890001... -------------------------------------------- 9091)1.00000000000000... 9091 ---- 90900 81819 ----- 90810 81819 ----- 89910 81819 ----- 80910 72728 ----- 81820 81819 ----- 10000 9091 ----- ...
$\blacksquare$