Question

the product of two rational numbers is -16/9.if one of the numbers is -4/3 ,find the other

Answer 1

Answer:

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Step-by-step explanation:

Let the rational number be y

$\large \: y \times \frac{ - 4}{3} = \frac{ - 16}{9} \\ \\ \large \: y = \frac{ \frac{ - 16}{9} }{ \frac{ - 4}{3} } \\ \\ \large \: y = \frac{ - 16}{9} \times \frac{3}{ - 4} \\ \\ \large \: y = \frac{\cancel{ - 16} \: \: {}^{4} }{\cancel{ 9} \: \: {}^{3} } \times \frac{\cancel{ 3}\: \: {}^{1}}{\cancel{ - 4}\: \: {}^{1} } \\ \\ \large \:\therefore \: \: y = \frac{4}{3}$