Question

solve the following questions
don't waste my time and yours​

Answer 1

Answer:

-18/7

Step-by-step explanation:

Let the unknown rational number be x.

Given, product of -5/48 and x = 15/56

That is, -5/48 * x = 15/56

=> x = 15/56 ÷ -5/48

=> x = ( 15 * 48 ) / ( 56 * -5 )

=> x = -18/7

Therefore, the other rational number is -18/7

Answer 2

Answer:

The other number is -18/7

Step-by-step explanation:

Given :

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

To find :

the other number

Solution :

Let the other number be 'a'

The product of two rational numbers = 15/56

$\sf a \times \dfrac{-5}{48}=\dfrac{15}{56} \\\\ \sf a=\dfrac{15}{56} \times \dfrac{48}{-5} \\\\ \sf a=\dfrac{(5 \times 3)}{(7 \times 8)} \times \dfrac{(6 \times 8)}{-5} \\\\ \sf a=\dfrac{\not{5} \times 3}{7 \times \not{8}} \times \dfrac{6 \times \not{8}}{-\not{5}} \\\\ \sf a=\dfrac{3}{7} \times \dfrac{6}{-1} \\\\ \sf a=\dfrac{-18}{7}$

Therefore, the other number is -18/7

Verification :

$\implies \sf \dfrac{-18}{7} \times \dfrac{-5}{48} \\\\ \implies \sf \dfrac{18 \times 5}{7 \times 48} \\\\ \implies \sf \dfrac{\not{6} \times 3 \times 5}{7 \times \not{6} \times 8} \\\\ \implies \sf \dfrac{15}{56}$

So, the other number is -18/7