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  • 18-08-2020
  • Mathematics
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the product of two rational numbers is - 16/9. If one of them is - 4/3 find the other​

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Аноним Аноним
  • 18-08-2020

Answer:

The other number is 4/3

Step-by-step explanation:

Let the unknown number be x

Translate the equation :

[tex] - \frac{4}{3} \times x = - \frac{16}{9} \\ - \frac{4}{3} x = - \frac{16}{9} \\ [/tex]

Cross multiply

[tex] - 4x \times 9 = 3 \times - 16 \\ - 36x = - 48[/tex]

Divide both sides by -36

[tex] \frac{ - 36x}{ - 36} = \frac{ - 48}{ - 36x} \\ x = \frac{4}{3} [/tex]

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