Question

Efectuați a 5/6 + 1 întreg 5/12 b 2 întregi 9/10 + 4/15 c 1 întreg 1/6 + 2 întregi 2/21​

Answer 1

Răspuns:

Explicație pas cu pas:

a) 5/6 + 1 5/12 = 5/6 + (12+5)/12 = 10/12 + 17/12 = (10+17)/12 = 27/12 = 9/4 = 2 1/4

b) 2 9/10 + 4/15 = (20+9)/10 + 4/15 = 29/10 + 4/15 = (29×3)/30 + (4×2)/30 = (87+8)/30 = 95/30 = 19/5 = 3 1/5

c) 1 1/6 + 2 2/21 = (6+1)/6 + (2×21+2)/21 = 7/6 + 44/21 = (7×7)/42 + (44×2)/42 = 49/42 + 88/42 = (49+88)/42 = 137/42 = 3 11/42

Answer 2

Răspuns:

a) $\frac{11}{3}$

b)  $\frac{19}{6}$

c)  $\frac{1061}{336}$

Explicație pas cu pas:

a)  

$\frac{5}{6} + 1\frac{5}{12} = \frac{5}{6} + \frac{12*1+5}{6} = \frac{5}{6} + \frac{17}{6} = \frac{5+17}{6} = \frac{22}{6} = \frac{11}{3}$

b)

$2\frac{9}{10} + \frac{4}{15} = \frac{20+9}{10} + \frac{4}{15} = \frac{29}{10} + \frac{4}{15} = \frac{3*29 + 2*4}{30} = \frac{87+8}{30} = \frac{95}{30} = \frac{19}{6}$

c)

$1\frac{1}{16} + 2\frac{2}{21} = \frac{16+1}{16} + \frac{42+2}{21} = \frac{17}{16} + \frac{44}{21} = \frac{17*21 + 44*16}{16*21} = \frac{357+704}{336} = \frac{1061}{336}$