Question

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​

Answer 1

Răspuns:

a) $\frac{5}{8}$

b) $\frac{17}{20}$

c)  $\frac{79}{30}$

d) $\frac{29}{30}$

Explicație pas cu pas:

a) 3/8 + 0,25

$= \frac{3}{8} + \frac{25}{100} = \frac{3}{8} + \frac{1}{4} = \frac{3}{8} + \frac{2}{8} = \frac{5}{8}$

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

$= \frac{5}{10} - \frac{1}{4} + \frac{3}{5} = \frac{1}{2} - \frac{1}{4} +\frac{3}{5}$

$= \frac{10}{20} - \frac{5}{20} + \frac{12}{20}$

$= \frac{17}{20}$

c) 5/2 + 0,(12)

$= \frac{5}{2} + \frac{12}{90} = \frac{45*5 + 12}{90}$

$= \frac{237}{90} = \frac{79}{30}$

d) 1,(6) -7/10​

$= \frac{16-1}{9} - \frac{7}{10} = \frac{15}{9} - \frac{7}{10} = \frac{5}{3} - \frac{7}{10}$

$= \frac{5*10}{30} - \frac{7*3}{30} = \frac{50-21}{30}$

$= \frac{29}{30}$