Question

X÷0.4=2 1/9 ÷3 1/6 solve for x

Answer 1

x = 0.27

Explanation:

Given:

x÷0.4=2 1/9 ÷3 1/6

To Find:

x = ?

Solution:

First we will see what is

`2(1)/(9)= (2* 9 + 1)/(9) \\\\2(1)/(9)= (18 + 1)/(9) \\\\2(1)/(9)= (19)/(9) \\\\Similarly,\\\\3(1)/(6)= (3* 6 + 1)/(6) \\\\3(1)/(6)= (18 + 1)/(6) \\\\3(1)/(6)= (19)/(6) \\`

Now the final equation is

`(x)/(0.4) =((19)/(9))/((19)/(6))\\\\(x)/(0.4) =(6)/(9)\\\\(x)/(0.4) =(2)/(3)\\\\\therefore x = 0.4* (2)/(3)\\\\x = (0.8)/(3)\\\\x=0.2666\\\\x=0.27`

x = 0.27