Question

the value of?
plz tell me fast ​

Answer 1

Question:

Find the value of:

$\displaystyle{\sf\:\left[\:35.7\:-\:\left(\:3\:+\:\dfrac{1}{3\:+\:\dfrac{1}{3}}\:\right)\:-\:\left(\:2\:+\:\dfrac{1}{2\:+\:\dfrac{1}{2}}\:\right)\:\right]}$

Answer:

$\displaystyle{\boxed{\red{\sf\:\left[\:35.7\:-\:\left(\:3\:+\:\dfrac{1}{3\:+\:\dfrac{1}{3}}\:\right)\:-\:\left(\:2\:+\:\dfrac{1}{2\:+\:\dfrac{1}{2}}\:\right)\:\right]\:=\:30\:}}}$

Step-by-step-explanation:

We have given that,

$\displaystyle{\sf\:\left[\:35.7\:-\:\left(\:3\:+\:\dfrac{1}{3\:+\:\dfrac{1}{3}}\:\right)\:-\:\left(\:2\:+\:\dfrac{1}{2\:+\:\dfrac{1}{2}}\:\right)\:\right]}$

We have to find the value of this expression.

Now,

$\displaystyle{\sf\:\left[\:35.7\:-\:\left(\:3\:+\:\dfrac{1}{3\:+\:\dfrac{1}{3}}\:\right)\:-\:\left(\:2\:+\:\dfrac{1}{2\:+\:\dfrac{1}{2}}\:\right)\:\right]}$

$\displaystyle{\implies\sf\:\left[\:35.7\:-\:\left(\:3\:+\:\dfrac{1}{\dfrac{3\:\times\:3\:+\:1}{3}}\:\right)\:-\:\left(\:2\:+\:\dfrac{1}{2\:+\:\dfrac{1}{2}}\:\right)\:\right]}$

$\displaystyle{\implies\sf\:\left[\:35.7\:-\:\left(\:3\:+\:\dfrac{1}{\dfrac{9\:+\:1}{3}}\:\right)\:-\:\left(\:2\:+\:\dfrac{1}{2\:+\:\dfrac{1}{2}}\:\right)\:\right]}$

$\displaystyle{\implies\sf\:\left[\:35.7\:-\:\left(\:3\:+\:\dfrac{1}{\dfrac{10}{3}}\:\right)\:-\:\left(\:2\:+\:\dfrac{1}{2\:+\:\dfrac{1}{2}}\:\right)\:\right]}$

$\displaystyle{\implies\sf\:\left[\:35.7\:-\:\left(\:3\:+\:\dfrac{1}{10}\:\times\:3\:\right)\:-\:\left(\:2\:+\:\dfrac{1}{2\:+\:\dfrac{1}{2}}\:\right)\:\right]}$

$\displaystyle{\implies\sf\:\left[\:35.7\:-\:\left(\:3\:+\:\dfrac{3}{10}\:\right)\:-\:\left(\:2\:+\:\dfrac{1}{2\:+\:\dfrac{1}{2}}\:\right)\:\right]}$

$\displaystyle{\implies\sf\:\left[\:35.7\:-\:(\:3\:+\:0.3\:)\:-\:\left(\:2\:+\:\dfrac{1}{2\:+\:\dfrac{1}{2}}\:\right)\:\right]}$

$\displaystyle{\implies\sf\:\left[\:35.7\:-\:3.3\:-\:\left(\:2\:+\:\dfrac{1}{\dfrac{2\:\times\:2\:+\:1}{2}}\:\right)\:\right]}$

$\displaystyle{\implies\sf\:\left[\:35.7\:-\:3.3\:-\:\left(\:2\:+\:\dfrac{1}{\dfrac{4\:+\:1}{2}}\:\right)\:\right]}$

$\displaystyle{\implies\sf\:\left[\:35.7\:-\:3.3\:-\:\left(\:2\:+\:\dfrac{1}{\dfrac{5}{2}}\:\right)\:\right]}$

$\displaystyle{\implies\sf\:\left[\:35.7\:-\:3.3\:-\:\left(\:2\:+\:\dfrac{1}{\cancel{5}}\:\times\:\cancel{2}\:\right)\:\right]}$

$\displaystyle{\implies\sf\:[\:35.7\:-\:3.3\:-\:(\:2\:+\:0.4\:)\:]}$

$\displaystyle{\implies\sf\:[\:35.7\:-\:3.3\:-\:2.4\:]}$

$\displaystyle{\implies\sf\:[\:32.4\:-\:2.4\:]}$

$\displaystyle{\implies\sf\:30}$

$\displaystyle{\therefore\:\underline{\boxed{\red{\sf\:\left[\:35.7\:-\:\left(\:3\:+\:\dfrac{1}{3\:+\:\dfrac{1}{3}}\:\right)\:-\:\left(\:2\:+\:\dfrac{1}{2\:+\:\dfrac{1}{2}}\:\right)\:\right]\:=\:30\:}}}}$

Answer 2

The value of

$\large \sf 35.7 - [3 + ( \frac{1}{3 + \frac{1}{3} }) ] - [2 + ( \frac{1}{2 + \frac{1}{2} }) ] \: \: is \: \: \orange{\bf30}$

Refer the Given Attachment