We can translate a word equation into a mathematical equation by translating key words into operations.
Whenever we need to add one fraction to another, we must find a common denominator, change both the fractions for their denominators to be the same, and then add the numerators. Finally, we reduce the fraction.
We're given:
Translate the given information into an equation:
⇒ [tex]n-\dfrac{1}{6}=\dfrac{1}{2}[/tex]
Solve for n:
⇒ [tex]n-\dfrac{1}{6}=\dfrac{1}{2}\\\\n=\dfrac{1}{2}+\dfrac{1}{6}\\\\n=\dfrac{3}{6}+\dfrac{1}{6}\\\\n=\dfrac{4}{6}\\\\n=\dfrac{2}{3}[/tex]
[tex]n=\dfrac{2}{3}[/tex]
