Question

Calculeaza:[0,(5)+1,(75)+0.3(6):(1/4+2+5:13+109/156)+0,19(60)

Answer 1

[0,(5)+1,(75)+0.3(6):(1/4+2+5:13+109/156)+0,19(60)=
0,(5)=5/9
1,(75)=(175-1)/99=174/99
0.3(6)=(36-3)/90=33/90
0,19(60)=(1960-19)/9900=1941/9900

=(5/9+174/99+33/90):(1/4+2+5/13+109/156)+0,19(60)=
=(550+1740+363)/990:(39+312+60+109)/156+1941/9900=
=2653/990:520/156+1941/9900=
=2653/990 : 10/3 +1941/9900=
=2653/990 × 3/10+1941/9900=
=7959/9900 +1941/9900=
=9900/9900=1