Question

The product of two rational numbers is 15/56 if one of the numbers is -5/48 find the other...

please answer quickly :)​

Answer 1

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 'x'

According to the question,

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

Therefore, the other number is -18/7.

Verification :

$\implies \rm \dfrac{-5}{48} \times \dfrac{-18}{7} \\\\ \implies \rm \dfrac{-5}{3 \times 16} \times \dfrac{-3 \times 6}{7} \\\\ \implies \rm \dfrac{-5}{16} \times \dfrac{-6}{7} \\\\ \implies \rm \dfrac{-5}{2 \times 8} \times \dfrac{-3 \times 2}{7} \\\\ \implies \rm \dfrac{-5}{8} \times \dfrac{-3}{7} \\\\ \implies \rm \dfrac{15}{56}$

Hence, the other number is -18/7.