20/27
ββ
step-by-step explanation:
1 simplify brackets
-\frac{8}{9}\times \frac{5}{6}β
β9
β
β8
ββ Γ
β6
β
β5
ββ
2 use this rule: \frac{a}{b}\times \frac{c}{d}=\frac{ac}{bd}
βb
β
βa
ββ Γ
βd
β
βc
ββ =
βbd
β
βac
ββ
-\frac{8\times 5}{9\times 6}β
β9Γ6
β
β8Γ5
ββ
3 simplify 8\times 58Γ5 to 4040
-\frac{40}{9\times 6}β
β9Γ6
β
β40
ββ
4 simplify 9\times 69Γ6 to 5454
-\frac{40}{54}β
β54
β
β40
ββ
5 simplify \frac{40}{54}
β54
β
β40
ββ to \frac{20}{27}
β27
β
β20
ββ