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Transformați și calculați: a) 3/8 + 0,25 b) 0,5 - 1/4 + 3/5 c) 5/2 + 0,(12) d) 1,(6) -7/10​

Răspuns :

Efektm

Răspuns:

a) [tex]\frac{5}{8}[/tex]

b) [tex]\frac{17}{20}[/tex]

c)  [tex]\frac{79}{30}[/tex]

d) [tex]\frac{29}{30}[/tex]

Explicație pas cu pas:

a) 3/8 + 0,25

[tex]= \frac{3}{8} + \frac{25}{100} = \frac{3}{8} + \frac{1}{4} = \frac{3}{8} + \frac{2}{8} = \frac{5}{8}[/tex]

b) 0,5 - 1/4 + 3/5

[tex]= \frac{5}{10} - \frac{1}{4} + \frac{3}{5} = \frac{1}{2} - \frac{1}{4} +\frac{3}{5}[/tex]

[tex]= \frac{10}{20} - \frac{5}{20} + \frac{12}{20}[/tex]

[tex]= \frac{17}{20}[/tex]

c) 5/2 + 0,(12)

[tex]= \frac{5}{2} + \frac{12}{90} = \frac{45*5 + 12}{90}[/tex]

[tex]= \frac{237}{90} = \frac{79}{30}[/tex]

d) 1,(6) -7/10​

[tex]= \frac{16-1}{9} - \frac{7}{10} = \frac{15}{9} - \frac{7}{10} = \frac{5}{3} - \frac{7}{10}[/tex]

[tex]= \frac{5*10}{30} - \frac{7*3}{30} = \frac{50-21}{30}[/tex]

[tex]= \frac{29}{30}[/tex]