Question

the product of two rational number is 15/56 . if one of the number is -5/48 ,find the other. (show the step by step)




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Answer 1

Given :-  

• The product of two rational number is 15/56 .  
• One of the number is -5/48  

To Find :-

• Find the other number  

Solution :-

~Here, we’re given that the product of two rational number is 15/56, one of the number is -5/48 and we need to find the other number. Firstly, we’ll assume the other number and form an equation according to the question. After solving that equation we’ll get the required number.  

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✬ Let the other number be ‘ x ’  

According to the question :-

$\sf \implies \dfrac{-5}{48} \times x = \dfrac{15}{56}$

$\sf \implies \dfrac{-5x}{48} = \dfrac{15}{56}$

$\sf \implies -5x = \dfrac{15}{56} \times 48$

$\sf \implies x = \dfrac{15}{56} \times \dfrac{48}{-5}$

$\sf \implies x = \dfrac{15 \times 48}{56 \times -5}$

$\sf \implies x = \dfrac{-720}{280}$

$\boxed{\bf{ \bigstar \;\;\; x = - \dfrac{18}{7}}}$

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Hence,  

• The other number is -18/7

Answer 2

A N S W E R :

• The other number is -18/7.

Given :

• The product of two rational number is 15/56

• One of the number is -5/48

To find :

• Find the other number ?

Solution :

=> 5/48 × x = -15/56

=> x = -15/56 ÷ 5/48

=> x = -15/56 × 48/5

=> x = -720/280

=> x = -18/7

Hence,

• The other number is -18/7.