the sum of two rational numbers is -16/9. If one of the numbers is -4/3, find the other​

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the sum of two rational numbers is -16/9. If one of the numbers is -4/3, find the other​

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  1. Answer:

    Given:

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

    Solution:

    [tex]\large{\blue{Let \: the \: other \: number \: be \: ‘x’}}[/tex]

    The sum of two rational number = -16/9

    One of the numbers = -4/3

    The other rational number =

    -4/3+x= -16/9

    [tex]\large{\purple{ = > x = \frac{ – 16}{9} – \frac{4}{3} }}[/tex]

    [tex]\large{\pink{ = > \frac{ – 16 -12 }{9} }}[/tex]

    [tex]\large{\red{ = > \frac{ – 28}{9} }}[/tex]

    [tex]{\blue{ Hence,the \: other \: rational \: number}}[/tex]

    [tex]{\blue{is \: \frac{ – 28}{9}. }}[/tex]

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