Question

When a fraction is divided by the difference of 1/2 and 1/6 , we get
2/3 . What is the fraction ? ​

Answer 1

Answer:

a numerical quantity that is not a whole number (e.g. 1/2, 0.5).

Answer 2

$\huge\purple{\underline{\underline{Solution}}}$

$Let \: the \: fraction \: be \: x$

$Difference \: between$

$\large \frac{1}{2}$,$\large \frac{1}{6}$= $\large \frac{1}{2}$

$\large \frac{ - 1}{6}$

=$\large \frac{6}{12}$,$\large \frac{ - 2}{12}$

=$\large \frac{4}{12}$

= $\large \frac{1}{3}$

$When \: the \: fraction \: is \: divided \: by$$\large \frac{1}{3}$$results$$\large \frac{2}{3}$

$\large \: x \times \frac{1}{3}$

= $\large \frac{2}{3}$

$x*3 =$$\large \frac{2}{3}$

$3x \: =$$\large \frac{2}{3}$

$x \: =$$\large \frac{2}{9}$

$Therefore, \: the \: fraction \: is \: \large \frac{2}{9}$