Reciprocal of 79
Jump to navigation
Jump to search
Theorem
The decimal expansion of the reciprocal of $79$ is as follows:
- $\dfrac 1 {79} = 0 \cdotp \dot 01265 \, 82278 \, 48 \dot 1$
This sequence is A021083 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).
Proof
Performing the calculation using long division:
0.012658227848101... --------------------- 79)1.000000000000000... 79 ---- 210 670 158 632 --- --- 520 380 474 316 --- --- 460 640 395 632 --- --- 650 80 632 79 --- -- 180 100 158 79 --- --- 220 ... 158 --- 620 553 --- 670
$\blacksquare$