Question

The product of two rational numbers is 7/9. If one of the number is 12/49 , find the other number​

Answer 1

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Answer 2

Let, the two rational numbers be x and y

such that

$x×y = \frac{7}{9}$

Given that, One of the two numbers (say x) is

$x = \frac{12}{49}$

Substituting value of x into first equation

$y \times \frac{12}{49} = \frac{7}{9}$

$\implies y = \frac{7}{9} \times \frac{49}{12}$

Therefore

$\implies y = \frac{ {7}^{3} }{ {3}^{3} {2}^{2} } = \frac{343}{108}$