Respuesta :
Answer:
The value of the expression (5/9) / (-10/12) x (-2 2/5) is 0.4167.
Solution:
Given, expression is (5 / 9) / (-10 / 12) x (-2 2/5)
We have to evaluate the given expression
Now, (5 / 9) / (-10 / 12) x (-2 2/5)
⇒ (5 / 9) / (-5 / 6) x ((-2 x 5 + 2) / 5)
[cancelling 2 in -10/12 and converting mixed fraction to improper fraction]
(5 / 9) / (-5 / 6) x ((-10 + 2) / 5)
(5 / 9) / (-5 / 6) x (-8 / 5)
(5 / 9) / (-5)/6 x (-8)/5
[tex]\begin{array}{l}{\rightarrow \quad(5 / 9) / \frac{8}{6}} \\\\ {\rightarrow \quad \frac{5}{9} / \frac{4}{3}} \\\\ {\rightarrow \quad \frac{5}{9} \times \frac{3}{4}=\frac{5}{3 \times 4}=\frac{5}{12}=0.4167}\end{array}[/tex]
Hence, the value of given expression is 0.4167.
