Question

Aflati numărul rational x, stiind ca:
A) x+1 1/3=1 1/3+217,3
B) x-1,(5)=2 1/3
C) 2•x=1,(3)
D) x:3=2,1(4)
E) 2,3(51)+x=4
F) 2,31•x=4,5
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Answer 1

a) $x+1* \frac{1}{3}=1* \frac{1}{3}+217.3$
$x=217.3$
b) $x-1*5=2* \frac{1}{3}$
$x-5= \frac{2}{3}$
$x= \frac{2}{3}+5$
$x= \frac{17}{3}$
c) $2x=1*3$
$2x=3$
$2x:2=3:2$
$x= \frac{3}{2}$
d) $x:3=2.1*4$
$\frac{x}{3}=8.4$
$\frac{x}{3}= \frac{8.4}{1}$
$1x=8.4*3$
$x=25.2$
e) $2.31*51+x=4$
$117.81+x=4$
$x=4-117.81$
$x=-113.81$
f) $2.31x=4.5$
$2.31x:2.31=4.5:2.31$
$x= \frac{9}{2}: \frac{231}{100}$
$x= \frac{9}{2}* \frac{100}{231}$
$x=3* \frac{50}{77}$
$x= \frac{150}{77}$

Answer 2

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