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The value of the given expression is - 53.55

[tex]5 \frac{1}{4}( - 10.2) \\ [/tex]

The bracket implies multiplication :

Hence,

[tex]5 \frac{1}{4}( - 10.2) \\ [/tex] = [tex]5 \frac{1}{4}\times - 10.2

Converting the fraction to improper :

[tex] \frac{21}{4} \times - 10.2[/tex]

Then, to decimal :

[tex]5.25 \times - 10.2 = - 53.55[/tex]

Hence, the value of the expression is - 53.55

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