Question

Determinati catul dintre numarul 31/ 12 si diferenta fractiilor 3intregi 1/5 si 2 intregi1/6

Answer 1

31/12 : ( 3intreg 1/5 - 2intreg 1/6) = 
3intreg 1/5= (5x3+1)/5= 16/5
2intreg 1/6 = (6x2+1)/6 = 13/6
31/12 : ( 16/5 - 13/6)= 
in paranteza aducem la acelasi numitor, numitorul comun este 30
31/12 : ( (16x6)/30 - (13x5)/30)=
31/12 : (96/30 - 65/30) =
31/12 : 31/30 = 31/12 x 30/31 = simplific 31 cu 31, simplific 30 si 12 prin 6 = 5/2

Answer 2

[tex]3\frac{1}{5}-2\frac{1}{6}=\frac{16}{5}-\frac{13}{6}=\frac{6\cdot 16}{6\cdot 5}-\frac{5\cdot 13}{5\cdot 6}=\frac{96-65}{30}=\frac{31}{30}\\ \\\frac{31}{12}:\frac{31}{30}=\frac{31}{12}\cdot\frac{30}{31}=\frac{30}{12}=\frac{15}{6}=2\frac{3}{6}[/tex]