Question

Translate and solve: The difference of n and 1/6 is 1/2.

Answer 1

Translating Words into Problems

We can translate a word equation into a mathematical equation by translating key words into operations.

• difference = subtract
• is = equals

Addinng Fractions

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.

Solving the Question

We're given:

• The difference of n and
  `(1)/(6)` is
  `(1)/(2)`.

Translate the given information into an equation:

⇒
`n-(1)/(6)=(1)/(2)`

Solve for n:

⇒
`n-(1)/(6)=(1)/(2)\\\\n=(1)/(2)+(1)/(6)\\\\n=(3)/(6)+(1)/(6)\\\\n=(4)/(6)\\\\n=(2)/(3)`

Answer

`n=(2)/(3)`