Question

$f(x)=2\frac{1}{2} - 3\frac{1}{3}$

Answer 1

$\huge\textsf{Hey there!}$

$\mathsf{f(x) = 2\dfrac{1}{2}-3\dfrac{1}{3}}$

$\rightarrow\mathsf{y = 2\dfrac{1}{2}- 3\dfrac{1}{3}}$

$\rightarrow\mathsf{y = \dfrac{5}{2}- \dfrac{10}{3}}$

$\rightarrow\mathsf{y =( \dfrac{5}{2}\times\dfrac{3}{3}) - (\dfrac{10}{3}\times\dfrac{2}{2})}$

$\mathsf{5\times3=\boxed{\bf 15}}\\\\\mathsf{2\times3=\boxed{\bf 6}}}\\\\\mathsf{10\times2=\boxed{\bf 20}}\\\\\mathsf{3\times2=\boxed{\bf 6}}$

$\rightarrow{\mathsf{y =\dfrac{15}{6}-\dfrac{20}{6}}$

$\rightarrow\mathsf{y = \dfrac{15-20}{6}}$

$\mathsf{15-20=\boxed{\bf -5}}\\\\\\\mathsf{6= \boxed{\bf 6}}\textsf{ because \underline{6} is the LCD (\underline{L}east \underline{C}ommon \underline{D}enominator}$

$\boxed{\mathsf{y =\bf -\dfrac{5}{6}}}$

$\boxed{\boxed{\large\textsf{Answer: \bf y = }\mathsf{\bf -\dfrac{5}{6}}}}\huge\checkmark$

$\large\textsf{Good luck on your assignment and enjoy your day!}$

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