Question

The product of two rational numbers is -1 if one number is -17/8 find other.​

Answer 1

Answer :-

• The other rational number is 8/17.

To find :-

• The other rational number.

Solution :-

• It is given that the product of two rational numbers is -1 and one of the numbers is -17/8. We have to find the other number.

Let the other rational number be "x".

It has been given that :-

• Their product is -1.

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Therefore :-

$\longmapsto\sf \left(\dfrac{ - 17}{ \: \: \: \: \: 8} \right) \times x = - 1$

$\longmapsto\sf x = - 1 \div \left(\dfrac{ - 17}{ \: \: \: \: \: 8} \right)$

$\longmapsto\sf x = - 1 \times \left(\dfrac{ \: \: \: \: \: 8}{ - 17} \right)$

$\longmapsto\sf x = \left(\dfrac{ - 8}{ - 17} \right)$

$\longmapsto\sf x = \left(\dfrac{ \: \: \not\!\!- 8}{ \not\!\!- 17} \right)$

$\longmapsto\sf x = \left(\dfrac{8}{17} \right)$

• Hence, the other rational number is 8/17.

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Know more :-

What is a rational number?

• A number that can be expressed in the form of p/q, where p, q are integers and q ≠ 0, is called a rational number.

Answer 2

$\begin{gathered}{\Large{\textsf{\textbf{\underline{Given} :}}}} \end{gathered}$

• Product of two rational numbers is -1
• One number is $\sf \dfrac{-17}{8}$

$\begin{gathered}{\Large{\textsf{\textbf{\underline{To \: Find} :}}}} \end{gathered}$

• Other number = ?

$\begin{gathered}{\Large{\textsf{\textbf{\underline{Solution} :}}}} \end{gathered}$

Let other number be "x".

As, we are given that the product of two rational numbers is -1 and one number is $\sf \dfrac{-17}{8}$.

So to find another number, we have equation :

$\sf : \implies x \times \dfrac{-17}{8} = -1$

$\sf : \implies x \times -17 = -1\times 8$

$\sf : \implies x \times -17 = -8$

$\sf : \implies x = \dfrac{-8}{-17}$

$\sf : \implies x = \dfrac{8}{17}$

$\underline{\boxed{\bf x = \dfrac{8}{17}}}$

$\pink{\underline{\sf Hence, \: another\: rational\: number\: is\: \dfrac{8}{17}}.}$