Eleven × () = () × three eighths equals five sixths times six fifths = 1

Eleven × () = () × three eighths equals five sixths times six fifths = 1

Eleven × (one eleventh) = (eight thirds) × three eighths equals five sixths times six fifths = 1

24 in brackets 5 / 6 plus 1 and 1 / 4 minus 7 / 8

24 in brackets 5 / 6 plus 1 and 1 / 4 minus 7 / 8
=24 × 5 / 6 + 24 × 1 and 1 / 4-24 × 7 / 8
=20+30-21
=29

24 × (3 / 8 + 7 / 12 minus 1 / 3, 5 / 6)=

Original form
=3 / 24 × 8 + 7 / 24 × 12-1 / 24 × 3 + 5 / 24 × 6
=9+14-8+20
=35

One third plus one sixth plus one twelfth plus one twenty fourth plus three times two minus n

This is a 1 / 2 ratio sequence, you can apply the formula of the ratio sequence
Sn=a1*(1-q^n)/(1-q)
=1/3*(1-(1/2)^n)/(1-1/2)
=2/3-(1/2)^(n-1)/3