25. Every Fraction is a Repeating Decimal (Exploding Dots)

This is video number 25 in the Exploding Dots story.
The written guide to go with these videos and access to the full playlist is here:
gdaymath.com/c...
Also see ** www.globalmathproject.org ** for the global math phenomenon afoot.

[@scmtuk3662]

8:10 - the simplified form of 21/345 is 7/115. None of these is a factor of a power of 2, 5 or 10. Therefore, it will repeat. The decimal expansion of 21/345 is 0.0̇6086956521739130434782̇ where the decimal repeats between the two dots ( ̇ )

[@elgarmathstutoring5188]

Fantastic series, brilliantly presented. Look at 3min 22. We have all done it, thinking ahead and saying the next thing instead of what it should be :)

[@JamesTantonMath]

Oops! Brain's going too fast, I guess.