Question
Answer
$$\dfrac{\dfrac{1}{4}}{\dfrac{1}{4}}=1$$
Explanation
| $$ \begin{aligned}\frac{\frac{1}{4}}{\frac{1}{4}}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}1\end{aligned} $$ | |
| ① | Divide $ \dfrac{1}{4} $ by $ \dfrac{1}{4} $ to get $ 1$. Step 1: To divide rational expressions, multiply the first fraction by the reciprocal of the second fraction. Step 2: Cancel $ \color{red}{ 4 } $ in first and second fraction. Step 3: Multiply numerators and denominators. $$ \begin{aligned} \frac{ \frac{1}{4} }{ \frac{\color{blue}{1}}{\color{blue}{4}} } & \xlongequal{\text{Step 1}} \frac{1}{4} \cdot \frac{\color{blue}{4}}{\color{blue}{1}} = \\[1ex] & \xlongequal{\text{Step 2}} \frac{1}{\color{red}{1}} \cdot \frac{\color{red}{1}}{1} = \frac{1}{1} =1 \end{aligned} $$ |
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Simplify Radical Expression