Simple algorithm of 1 + 1 / 2 + 3 / 4 + 7 / 8 + 15 / 10 + 31 / 32 + 63 / 64

Simple algorithm of 1 + 1 / 2 + 3 / 4 + 7 / 8 + 15 / 10 + 31 / 32 + 63 / 64


=1+(1-1/2)+(1-1/4)+(1-1/8)+(1-1/16)+(1-1/32)+(1-1/64)
I.e. (1-1 / 2 ^ n)
=5 and 55 / 64



Simple algorithm of 7 / 8 * 4 / 15-7 / 15 * 4 / 8
RT


7/8*4/15-7/15*4/8
=7/8*(4/15-4/15)
=7/8*0
=0