Question

What is the value of the expression (5/9) / (-10/12) x (-2 2/5)

Answer 1

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

`\begin{array}{l}{\rightarrow \quad(5 / 9) / (8)/(6)} \\\\ {\rightarrow \quad (5)/(9) / (4)/(3)} \\\\ {\rightarrow \quad (5)/(9) * (3)/(4)=(5)/(3 * 4)=(5)/(12)=0.4167}\end{array}`

Hence, the value of given expression is 0.4167.