Question

X÷0.4=2 1/9 ÷3 1/6 solve for x

Answer 1

Answer:

x = 0.27

Step-by-step explanation:

Given:

x÷0.4=2 1/9 ÷3 1/6

To Find:

x = ?

Solution:

First we will see what is

$2\frac{1}{9}= \frac{2\times 9 + 1}{9} \\\\2\frac{1}{9}= \frac{18 + 1}{9} \\\\2\frac{1}{9}= \frac{19}{9} \\\\Similarly,\\\\3\frac{1}{6}= \frac{3\times 6 + 1}{6} \\\\3\frac{1}{6}= \frac{18 + 1}{6} \\\\3\frac{1}{6}= \frac{19}{6}$

Now the final equation is

$\frac{x}{0.4} =\frac{\frac{19}{9}}{\frac{19}{6}}\\\\\frac{x}{0.4} =\frac{6}{9}\\\\\frac{x}{0.4} =\frac{2}{3}\\\\\therefore x = 0.4\times \frac{2}{3}\\\\x = \frac{0.8}{3}\\\\x=0.2666\\\\x=0.27$

x = 0.27