Question

1/x - 1/4 = 2/9

Answer 1

\(\dfrac{1}{x}-\dfrac{1}{4}=\dfrac{2}{9}\)

\(\Rightarrow\dfrac{1}{x}=\dfrac{2}{9}+\dfrac{1}{4}\)

\(\Rightarrow\dfrac{1}{x}=\dfrac{8}{36}+\dfrac{9}{36}\)

\(\Rightarrow\dfrac{1}{x}=\dfrac{17}{36}\)

\(\Rightarrow x=\dfrac{1}{\dfrac{17}{36}}\)

\(\Rightarrow x=\dfrac{36}{17}\)

Answer 2

\(\dfrac{1}{x}-\dfrac{1}{4}=\dfrac{2}{9}\\ \dfrac{1}{x}=\dfrac{2}{9}+\dfrac{1}{4}\\ \dfrac{1}{x}=\dfrac{8}{36}+\dfrac{9}{36}\\ \dfrac{1}{x}=\dfrac{17}{36}\\ x=\dfrac{36}{17}\)