Math, asked by vedantsharma9221, 8 months ago

What rational number should be added to 2/3 to get -4/11?

Answers

Answered by harshu385

Step-by-step explanation:

See the attachment

hope it will help you

Attachments:

Answered by Mihir1001

$\huge{\underline{\mathfrak{\textcolor{blue}{Answer :}}}}$

$\huge\boxed{\fcolorbox{red}{#ffdfff}{ - 34 / 33}}$

$\LARGE{\underline{\mathrm{\textcolor{red}{Step-by-step \: \: explanation :}}}}$

$\LARGE{\underline{\mathtt{\textcolor{violet}{Given :-}}}}$

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

$\large{c = - \frac{4}{11} }$

Condition :

$\large{a + b = c}$

$\LARGE{\underline{\mathtt{\textcolor{green}{To \: \: find :-}}}}$

b

$\LARGE{\underline{\mathtt{\textcolor{teal}{Concept \: \: used :-}}}}$

Addition

$\LARGE{\underline{\mathtt{\textcolor{blue}{Solution :-}}}}$

We have,

$\large{ \longmapsto b = c - a}$

$\large{ \implies b = ( - \frac{4}{11} ) - ( \frac{2}{3} )}$

$\large{ \implies b = - \frac{4}{11} - \frac{2}{3} }$

$\large{ \implies b = \frac{ - (4)(3) - (2)(11)}{(11)(3)} }$

$\large{ \implies b = \frac{ - 12 - 22}{33} }$

$\large{ \implies b = \frac{ - (12 + 22)}{33} }$

$\large{ \implies b = - \frac{34}{33} }$

$\LARGE{\underline{\mathtt{\textcolor{magenta}{Conclusion :-}}}}$

$\large\boxed{ \: \: \left( \frac{2}{3} \right) + \left( - \frac{34}{33} \right) = \left( - \frac{4}{11} \right) \: \: }$

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