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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