Question

find the sum of reciprocal of [ -17/19] and negative of [-190/17]

Answer 1

✧$\huge \mathcal \red {\underline{\underline{A}}}$ $\huge \mathcal \green {\underline{\underline{N}}}$ $\huge \mathcal \pink {\underline{\underline{S}}}$ $\huge \mathcal \blue {\underline{\underline{W}}}$ $\huge \mathcal \orange {\underline{\underline {E}}}$ $\huge \mathcal \purple {\underline{\underline{R}}}$✧

❥ To find :

The sum of reciprocal of $( \frac {-17}{19})$ and negative of $(\frac {-190}{17})$

❥ Solution :

➤ We know that, reciprocal is the multiplicative inverse of rational number.

So,

⇒ Reciprocal of $\frac {-17}{19} \:$ is $\frac {-19}{17}$

➤ We know that, negative of negative rational number is equal to the positive value of that rational number.

So,

⇒ Negative of $\frac {-190}{17}$ is $\frac {190}{17}$

➤ Now, sum of reciprocal of $(\frac {-17}{19})$ and negative of $( \frac {-190}{17})$,

⇒ $\frac {-19}{17} + \frac {190}{17}$

⇒ $\frac {-19 + 190}{17}$

⇒ $= \frac {171}{17}$

$\implies$ Hence, the sum of reciprocal of $(\frac {-17}{19})$ and negative of $(\frac {-190}{17})$ is $(\frac {171}{17})$.

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Answer 2

$\bf\huge{\red{▬▬▬▬▬▬▬▬▬▬▬▬}}$

$\bf\huge{\red{Question←:}}$

$\bf{\red{:→}}$ Find the sum of reciprocal of [ $\bf\dfrac{-17}{19}$ ] and negative of [ $\bf\dfrac{-190}{17}$ ].

$\bf\huge{\red{▬▬▬▬▬▬▬▬▬▬▬▬}}$

$\bf\huge{\red{To~find←:}}$

$\bf{\red{:→}}$ The sum of reciprocal of [ $\bf\dfrac{-17}{19}$ ] and negative of [ $\bf\dfrac{-190}{17}$ ].

$\bf\huge{\red{▬▬▬▬▬▬▬▬▬▬▬▬}}$

$\bf\huge{\red{Answer←:}}$

$\bf{\red{:→}}$ We know that reciprocal is the multiplicative inverse of rational number.

So,

$\bf{\red{:→}}$ Reciprocal of $\bf\dfrac{-17}{19}$ is $\bf\dfrac{-19}{17}$

$\bf{\red{:→}}$ We know that, negative of negative rational number is equal to the positive value of the rational number.

So,

$\bf{\red{:→}}$ $\bf\dfrac{-190}{17}$ is $\bf\dfrac{190}{17}$

$\bf{\red{:→}}$ Now,

sum of reciprocal of $\bf\dfrac{-17}{19}$ is $\bf\dfrac{-190}{17}$,

$\bf{\red{:→}}$ $\bf\dfrac{-19}{17}$ + $\bf\dfrac{190}{17}$

$\bf{\red{:→}}$ $\bf\dfrac{-19+190}{17}$

$\bf{\red{:→}}$ $\bf\dfrac{171}{17}$

$\bf{\bold{\red{Hence,~the~sum~of~reciprocal~of\dfrac{-17}{19}and ~negative~}}}$$\bf{\bold{\red{of\dfrac{-190}{17} is \bf\dfrac{171}{17} }}}$

$\bf\huge{\red{▬▬▬▬▬▬▬▬▬▬▬▬}}$