[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{21}{7}\ of\ 2\dfrac{1}{2}}[/tex]
[tex]\mathsf{= \dfrac{21}{7}\times2\dfrac{1}{2}}[/tex]
[tex]\mathsf{= \dfrac{21}{7}\times\dfrac{2\times2+1}{2}}[/tex]
[tex]\mathsf{=\dfrac{21}{7}\times\dfrac{4 +1}{2}}[/tex]
[tex]\mathsf{=\dfrac{21}{7}\times\dfrac{5}{2}}[/tex]
[tex]\mathsf{=\dfrac{21\div7}{7\div7}\times\dfrac{5}{2}}[/tex]
[tex]\mathsf{= \dfrac{3}{1}\times\dfrac{5}{2}}[/tex]
[tex]\mathsf{= \dfrac{3\times5}{1\times2}}[/tex]
[tex]\mathsf{= \dfrac{15}{2}}[/tex]
[tex]\mathsf{\approx 7\dfrac{1}{2}}[/tex]
[tex]\huge\textsf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{7 \dfrac{1}{2}}}\huge\checkmark[/tex] [tex]\large\textsf{or even}\rightarrow[/tex] [tex]\huge\boxed{\frak{\dfrac{15}{2}}}\huge\checkmark[/tex][tex]\uparrow\large\textsf{Either these should work because they are equal to each other.}\uparrow[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
