Răspuns :
Intai se efectueaza inmultirile si impartirile in ordinea in care sunt scrise, apoi adunarile si scaderile:
[tex]1\times 5:6+8:9\times 10\\
\\ =5:6+8:9\times 10=\\
\\ \text{impartirile nu sunt tocmai favorabile, asa ca le scriem sub forma de fractie}\\
\\ =\frac{5}{6}+\frac{8}{9}\times 10=\\
\\ =\frac{5}{6}+\frac{8\times 10}{9}=\\
\\ =\frac{5}{6}+\frac{80}{9}=\\
\\ \text{aducem la numitor comun aplificand prima fractie cu 3 si a doua cu 2}\\
\\ =\frac{5\times 3}{6\times 3}+\frac{80\times 2}{9\times 2}=\\
\\ =\frac{15}{18}+\frac{160}{18}=\\
\\ =\frac{15+160}{18}=\\
\\ =\frac{175}{18}=\\
\\ =9\frac{13}{18}[/tex]
[tex]1\times 5:6+8:9\times 10\\
\\ =5:6+8:9\times 10=\\
\\ \text{impartirile nu sunt tocmai favorabile, asa ca le scriem sub forma de fractie}\\
\\ =\frac{5}{6}+\frac{8}{9}\times 10=\\
\\ =\frac{5}{6}+\frac{8\times 10}{9}=\\
\\ =\frac{5}{6}+\frac{80}{9}=\\
\\ \text{aducem la numitor comun aplificand prima fractie cu 3 si a doua cu 2}\\
\\ =\frac{5\times 3}{6\times 3}+\frac{80\times 2}{9\times 2}=\\
\\ =\frac{15}{18}+\frac{160}{18}=\\
\\ =\frac{15+160}{18}=\\
\\ =\frac{175}{18}=\\
\\ =9\frac{13}{18}[/tex]
1 × 5 : 6 + 8 : 9 × 10 = 9,7(2)
= 5 / 6 + ( 8 × 10 ) / 9 = → le aduc la acelasi numitor comun 18
= ( 5 × 3 ) / 18 + ( 2 × 80 ) / 18 =
= 15 / 18 + 160 / 18 =
= 175 / 18 =
= 9 intregi si 13 / 18 =
= 9,7(2)