Question

Calculati si scrieti rezultatul sub forma de fractie zecimala :
a)1:(1:0,3(6)-1,5)+(0,125):0,(6)

Answer 1

a)1:(1:0,3(6)-1,5)+(0,125):0,(6) =
0,3(6)=(36-3)/90=33/90=11/30
1,5=15/10=3/2
0,125=125/1000=1/8
0,(6)=6/9=2/3

=1:(1: 11/30-3/2)+1/8 :2/3 =
=1:(30/11-3/2)+1/8 ×3/2 =
=1:(60-33)/22+3/16 =
=1:27/22+3/16 =
=22/27+3/16 =
=(22×16+3×27)/27×16 =
=(352+81)/27×16 =
=433/432=1,0023(148)