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5. Rezolvaţi următoarele ecuații, unde x e Q: b)x: 0,6 = 3,(3); a) x: 1,4 = 1,(6); d) 0,4:x=1,(3); e) 2,2 : x= 3,(6); c) x: 2,5= 0,2(6); f) 3,5: x=0,3(8).​

Răspuns :

Răspuns:

b)

[tex]x \div \frac{3}{5} = \frac{10}{3} \\ x = \frac{10}{3} \times \frac{3}{5} = > x = 2[/tex]

a)

[tex]x \div \frac{7}{2} = \frac{5}{3} \\ x = \frac{5}{3} \times \frac{7}{2} = \frac{35}{6} = 5.8(3)[/tex]

d)

[tex] \frac{2}{5} \div x = \frac{4}{3} \\ x = \frac{2}{5} \times \frac{3}{4} = \frac{3}{10} = 0.3[/tex]

e)

[tex] \frac{11}{5} \div x = \frac{11}{3} \\ x = \frac{11}{5} \times \frac{3}{11} = \frac{3}{5} = 0.6[/tex]

c)

[tex]x \div \frac{5}{2} = \frac{4}{15} \\ x = \frac{4}{15} \times \frac{2}{5} = \frac{8}{65} [/tex]

f)

[tex] \frac{7}{2} \div x = \frac{7}{18} \\ x = \frac{7}{2} \times \frac{18}{7} = 9[/tex]

Răspuns:

b)

÷

3

5

=

10

3

=

10

3

×

3

5

=

>

=

2

5

3

=

3

10

x=

3

10

×

5

3

=>x=2

a)

÷

7

2

=

5

3

=

5

3

×

7

2

=

35

6

=

5.8

(

3

)

2

7

=

3

5

x=

3

5

×

2

7

=

6

35

=5.8(3)

d)

2

5

÷

=

4

3

=

2

5

×

3

4

=

3

10

=

0.3

5

2

÷x=

3

4

x=

5

2

×

4

3

=

10

3

=0.3

e)

11

5

÷

=

11

3

=

11

5

×

3

11

=

3

5

=

0.6

5

11

÷x=

3

11

x=

5

11

×

11

3

=

5

3

=0.6

c)

÷

5

2

=

4

15

=

4

15

×

2

5

=

8

65

2

5

=

15

4

x=

15

4

×

5

2

=

65

8

f)

7

2

÷

=

7

18

=

7

2

×

18

7

=

9

2

7

÷x=

18

7

x=

2

7

×

7

18

=9