Question

[(0,41(6)-0,125):(-0,3125)+0,58(3)]:(-0,6)

Answer 1

c) [(0,41(6)- 0,125) : (0,3125)+ 0,58(3)] : (0,6)=
0,41(6)=(416-41)/900=375/900=15/36=5/12
0,125=125/1000=1/8
0,3125=3125/10000=25/80=5/16
0,58(3)=(583-58)/900=525/900=21/36=7/12
6/10=3/5

=[(5/12- 1/8) : 5/16+ 7/12 ]: 3/5=
=[(20-6)/48 ×16/5 + 7/12 ]: 3/5=
=[14/48 ×16/5 + 7/12 ]: 3/5=
=(14/15+7/12) ×5/3=
=(56+35)/60×5/3=
=91/60×5/3=
=91/36

Mult succes !

Answer 2

0,41(6)=(416-41)/900=375/900=5/12
0,125=125/1000=1/8
0,3125=3125/10000=5/16
0,58(3)=(583-58)/900=525/900=7/12
0,6=6/10=3/5

[(0,41(6)-0,125):(-0,3125)+0,58(3)]:(-0,6) =
=[(5/12-1/8):(-5/16)+7/12]:(-3/5) =
=[(10-3)/24 × (-16/5)+7/12] ×(-5/3) =
=[7/24 × (-16/5)+7/12] ×(-5/3) =
=[7/3 × (-2/5)+7/12] ×(-5/3) =
=(-14/15+7/12) ×(-5/3) =
=(-56+35)/60×(-5/3) =
=-21/60×(-5/3) =
=7/12