Question

1. calculati si scrieti rezultatul sub forma de fractie zecimala
a) 1: (1: 11/30-1,5)+(0,5)la 3 :0,(6)
b)10,1:[(6/5+13/6)×(21/10+6/13)]:1,(4)
c)4,84×[0,(03)]la 2+(4/3)la -1:[37/3×9/4-5,5×9/2]

Answer 1

a) 1: (1: 11/30-1,5)+(0,5)³ :0,(6)=
=1: (30/11-15/10)+(5/10)³ :6/9=
=1: (60-33)/22)+(1/2)³ ×3/2=
=22/27+1/8 ×3/2=
=22/27+3/16=
=(22*16+3*27)/27*16=
=(352+81)/432=
=433/432=1,0023(148)

b)10,1:[(6/5+13/6)×(21/10+6/13)]:1,(4)=
=101/10 : [(36+65)/30×(273+60)/130)]:13/9=
=101/10 : [101/30×333/130)] ×9/13=
=101/10 ×30×130/101×333 ×9/13=
=101/10 ×30×130/101×333 ×9/13=
=130/111 ×9/13=
=30/37=0,(810)

c)4,84×[0,(03)]²+(4/3)⁻¹:[37/3×9/4-5,5×9/2]=
=484/100×(3/99)²+3/4:[111/4-495/20]=
=121/25×(1/33)²+3/4:(555-495)/20=
=121/25×1/1089+3/4:60/20=
=121/27225+3/4:3=
=121/27225+1/4=
=(484+27225)/108900=
=27709/108900=0,25(4)