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[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{5 \dfrac{3}{2} \times 5\dfrac{1}{2}}[/tex]
[tex]\mathsf{= \dfrac{5\times2+3}{2}\times\dfrac{5\times2+1}{2}}[/tex]
[tex]\mathsf{= \dfrac{10 + 3}{2}\times\dfrac{10 + 1}{2}}[/tex]
[tex]\mathsf{= \dfrac{13}{2}\times\dfrac{11}{2}}[/tex]
[tex]\mathsf{= \dfrac{13\times11}{2\times2}}[/tex]
[tex]\mathsf{= \dfrac{143}{4}}[/tex]
[tex]\mathsf{= 35 \dfrac{3}{4}}[/tex]
[tex]\huge\textsf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{= 35 \dfrac{3}{4}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]