Question

the product of two rational no. is minus 11/12. If one of them is 22/9. Find the other​

Answer 1

Answer:

$\boxed{\sf Other \ rational \ number = \frac{3}{8}}$

Given:

Product of two rational number = $\sf \frac{11}{12}$

One rational number = $\sf \frac{22}{9}$

To Find:

Other rational number

Step-by-step explanation:

Let the other rational number be 'x'

So,

$\sf \implies \frac{22}{9} \times( x) = \frac{11}{12} \\ \\ \sf Multiply \: both \: sides \: by \: \frac{9}{22} : \\ \sf \implies \frac{ \cancel{22}(x)}{ \cancel{9}} \times \frac{ \cancel{9}}{ \cancel{22}} = \frac{11}{12} \times \frac{9}{22} \\ \\ \sf \implies x = \frac{11}{12} \times \frac{9}{22} \\ \\ \sf \implies x = \frac{ \cancel{11}}{12} \times \frac{9}{ \cancel{11 }\times 2} \\ \\ \sf \implies x = \frac{1}{12} \times \frac{9}{2} \\ \\ \sf \implies x = \frac{1}{4 \times \cancel{3}} \times \frac{ \cancel{3} \times 3}{2} \\ \\ \sf \implies x = \frac{1}{4} \times \frac{3}{2} \\ \\ \sf \implies x = \frac{3}{8}$

Answer 2

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Please see the attachment below