[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{4}{5}n = \dfrac{2}{3}}[/tex]
[tex]\textsf{Multiply by the reciprocal of }\mathsf{\dfrac{4}{5}}\textsf{ to both sides, which is }\mathsf{\dfrac{5}{4}.}[/tex]
[tex]\textsf{Multiply }\mathsf{\dfrac{5}{4}}\textsf{ to both sides:}[/tex]
[tex]\mathsf{\dfrac{4}{5}n \times \dfrac{5}{4}= \dfrac{2}{3}\times\dfrac{5}{4}}[/tex]
[tex]\textsf{Simplify it: }[/tex]
[tex]\mathsf{n = \dfrac{5}{4}\times\dfrac{2}{3}}[/tex]
[tex]\mathsf{n = \dfrac{5\times2}{4\times3}}[/tex]
[tex]\mathsf{n = \dfrac{10}{12}}[/tex]
[tex]\mathsf{n = \dfrac{10\div2}{12\div2}}[/tex]
[tex]\mathsf{n = \dfrac{5}{6}}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\textsf{Option B. }\frak{\dfrac{5}{6}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
