Question

the product of two rational number is 1. if one of the rational number is 8/21 .
find the other.



the product two rational number is 35/ 126, if one of them is -9/60 , find the other.​

Answer 1

Solution 1:

$\bf{\red{\underline{\bf{Given\::}}}}$

The product of two rational number is 1. if one of the rational number is 8/21.

$\bf{\red{\underline{\bf{To\:find\::}}}}$

The other number.

$\bf{\red{\underline{\bf{Explanation\::}}}}$

Let the other number be r

A/q

$\longrightarrow\sf{\dfrac{8}{21} \times r=1}\\\\\\\longrightarrow\sf{\dfrac{8r}{21} =1}\\\\\\\longrightarrow\f{8r=21}\\\\\\\longrightarrow\sf{\pink{r=\dfrac{21}{8}} }}$

Thus;

$\underline{\sf{The\:other\:number\:is\:\dfrac{21}{8} }}}}$

Solution 2:

$\bf{\underline{\bf{Given\::}}}}}$

The product of two rational number is 35/126. if one of the rational number is -9/60.

$\bf{\underline{\bf{To\:find\::}}}}}$

The other number.

$\bf{\underline{\bf{Explanation\::}}}}}$

Let the other number be r

A/q

$\longrightarrow\sf{\dfrac{-9}{60} \times r=\dfrac{35}{126} }\\\\\\\longrightarrow\sf{\dfrac{-9r}{60} =\dfrac{35}{126} }\\\\\\\longrightarrow\sf{-9r\times 126=35\times 60}\\\\\\\longrightarrow\sf{-1134r=2100}\\\\\\\longrightarrow\sf{r=-\cancel{\dfrac{2100}{1134}} }\\\\\\\longrightarrow\sf{\pink{r=-\dfrac{350}{189} }}$

Thus;

$\underline{\sf{The\:other\:number\:is\:-\dfrac{350}{189} }}}}$

Answer 2

Solutions 1:

Given:

The product of two rational number is 1. if one of the rational number is 8/21 .

To find:

The other number be r

A.T.Q

8/21 × r = 1

8r/21 = 1

r = 21/8

Thus:

The other number is 21/8.

Solutions 2:

Given:

The product two rational number is 35/ 126, if one of them is -9/60.

To find:

The other number.

Explanation:

Let the other number be r.

A.T.Q

-9/60 × r = 35/126

-9r/60 = 35/126

-9r × 126 = 35 × 60

-1134r = 2100

r = -2100/1134

r = -350/189

Thus;

The other number is -350/189

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