Intermediate Algebra, Chapter 1, 1.2, Section 1.2, Problem 28

Find the difference $\displaystyle \frac{3}{14} - \left( \frac{-3}{4} \right)$.


$
\begin{equation}
\begin{aligned}

\frac{3}{14} - \left( \frac{-3}{4} \right) =& \frac{3}{14} + \frac{3}{4}
&& \text{To subtract, add the additive inverse(opposite)}
\\
\\
=& \frac{6}{28} + \frac{21}{28}
&& \text{Get the LCD}
\\
\\
=& \frac{27}{28}
&&

\end{aligned}
\end{equation}
$