fractions to recurring decimals

an opportunity to do some ('bus stop') division

having looked at thirds, ninths and elevenths

a ppt is here

see also the posting on Puntmat relating to this topic

how can you tell what number the sevenths start with?

picture from Puntmat
(originally from Wikimedia)

note that opposite digits on the circle sum to 9

again, opposite digits sum to 9

the 'length' of the 31ths blocks are only 15 digits

youtube video:
998,001
numberphile
introduced by
Dr James Grime


where did the 8 go?







31ths repeat after 15 digits
41ths repeat after only 5 digits
more information on wikipedia