Question

Aflati x: a) 3x/8=9/5, b) 4x/5=7/11,c) x-4/7=13/5,d) 5/3=1,4/7x,e) 9x/10=8,1,f) x/2=32/x,g) 2+1/3-5/6=x/2,h) x+1/4=5/2, i) x/0,97(2)=3,375/2,1, j) 0,1(6)/0,75=1,(3)/x
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Answer 1

a) 3x/8=9/5
x=8×9/3x5=24/5

b) 4x/5=7/11
x=5×7/4×11
x=35/44

c) x-4/7=13/5
35x-20=91
35x=111
x=111/35

d) 5/3=1,4/7x
x=1,4×3/5×7=0,6/5=6/50=3/25=0,12

e) 9x/10=8,1
x=8,1×10/9=9

f) x/2=32/x
x²=64
x=+/-32

g) 2+1/3-5/6=x/2
12+2-5=3x
3x=9
x=3

h) x+1/4=5/2
4x+1=10
4x=9
x=9/4=2,25

 i) x/0,97(2)=3,375/2,1
0,97(2)=(972-97)/900=875/900=35/36
x/(35/36)=3,375/2,1
36x/35=3,375/2,1
x=35 × 3,375/36×2,1=16,875/10,8=1,5625

 j)0,1(6)/0,75=1,(3)/x 
0,1(6)=(16-1)/90=15/90=1/6
1,(3)=(13-1)/9=12/9=4/3
(1/6)/0,75 =4/3x
1/4,5=4/3x
x=4×4,5/3=6