Question

[ 0,(3) + 1,(3) : 1$\frac{7}{9}$ ] : (1+$\frac{1}{12}$ )

Answer 1

[ 0,(3) + 1,(3) : 1 7/9] : (1+1/12 )=
= [ 3/9 + (13-1)/9  : 16/9] : (12+1)/12=
= ( 1/3 + 12/9  × 9/16) : 13/12=
= ( 1/3 + 12/16) × 12/13=
= ( 1/3 + 3/4) × 12/13=
= ( 4+9)/12 × 12/13=
=13/12× 12/13=1