Question

Q4. What should be added to 2/3 so asked to get 1/15?
O 3/5
0 -3/5
O 5/3
O 1/15​

Answer 1

Answer:

the answer is in the image

Answer 2

$\LARGE\star\boxed{\mathfrak\pink{\underline{\underline{Answer}}}}\star$

$\Large\textbf{ \dfrac{-3}{5} }$

$\LARGE\star\star\boxed{\mathbb\red{\underline{\underline{GIVEN}}}}\star\star$

$\Large\odot\:\:\textbf{First\: Fraction\:=\: \dfrac{2}{3} }$

$\Large\odot\:\:\textbf{Resulting\:Fraction\:=\: \dfrac{1}{15} }$

$\LARGE\star\star\star\boxed{\mathbb\green{\underline{\underline{TO\:FIND}}}}\star\star\star$

$\Large\odot\:\:\textbf{Second\: Fraction}$

$\LARGE\star\star\star\star\boxed{\mathcal\red{\underline{\underline{Explanation}}}}\star\star\star\star$

$\large\textsf{Let the second fraction be \dfrac{x}{y} }$

$\Large\texttt{ATQ,}$

$\large\Longrightarrow\textsf{ \dfrac{2}{3}+\dfrac{x}{y}\:=\:\dfrac{1}{15} }$

$\large\Longrightarrow\textsf{ \dfrac{x}{y}\:=\:\dfrac{1}{15}\:-\:\dfrac{2}{3} }$

$\Large\texttt{LCM of 3 and 15 is 15}$

$\large\Longrightarrow\textsf{ \dfrac{x}{y}\:=\:\dfrac{1\times1\:-\:2\times5}{15} }$

$\large\Longrightarrow\textsf{ \dfrac{x}{y}\:=\:\dfrac{1-10}{15} }$

$\large\Longrightarrow\textsf{ \dfrac{x}{y}\:=\:\dfrac{-9}{15} }$

$\Large\texttt{Dividing numerator and}$

$\Large\texttt{denominator in RHS by 3}$

$\large\Longrightarrow\textsf{ \dfrac{x}{y}\:=\:\dfrac{-3}{5} }$

$\Large\therefore\textbf{The\:Answer\:is\: \dfrac{-3}{5} }$

$\Large\textbf{or\:Option\: B.}$

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