Question
Reduce to simplest form.
\[-\dfrac{3}{2}-\dfrac{3}8=\]
\[-\dfrac{3}{2}-\dfrac{3}8=\]
Answers
GPT 3.5
We need to find a common denominator to combine the fractions. The smallest number that both $2$ and $8$ divide into is $8$, so we rewrite the fractions with denominators of $8$.
Both $2$ and $4$ goes into $8$, so we can re-write each term:
\begin{align*}
-\dfrac{3}{2}-\dfrac{3}{8} &= -\dfrac{3 \cdot 4}{2 \cdot 4} - \dfrac{3}{8}\\
&= -\dfrac{12}{8}-\dfrac{3}{8}\\
&= \boxed{-\dfrac{15}{8}}\\
\end{align*}
Both $2$ and $4$ goes into $8$, so we can re-write each term:
\begin{align*}
-\dfrac{3}{2}-\dfrac{3}{8} &= -\dfrac{3 \cdot 4}{2 \cdot 4} - \dfrac{3}{8}\\
&= -\dfrac{12}{8}-\dfrac{3}{8}\\
&= \boxed{-\dfrac{15}{8}}\\
\end{align*}