Question
Answer
$$-\dfrac{\dfrac{\dfrac{7}{2}}{7}}{3}=-\dfrac{1}{6}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}-\frac{\frac{\frac{7}{2}}{7}}{3}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-\frac{\frac{\frac{1}{2}}{1}}{3} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-\frac{\frac{1}{2}}{3} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}-\frac{1}{6}\end{aligned} $$ | |
| ① | Divide both numerator and denominator by 7. |
| ② | Remove 1 from denominator. |
| ③ | Divide $ \dfrac{1}{2} $ by $ 3 $ to get $ \dfrac{1}{6} $. To divide rational expressions, multiply the first fraction by the reciprocal of the second fraction. Step 2: Multiply numerators and denominators. $$ \begin{aligned} \frac{ \frac{1}{2} }{3} = \frac{1}{2} \cdot \frac{\color{blue}{1}}{\color{blue}{3}} = \frac{1}{6} \end{aligned} $$ |
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Simplify Rational Expressions