Respuesta :
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
[tex]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} \\[/tex]
Now the final equation is
[tex]\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[/tex]
x = 0.27
