Answer
$$42\cdot\frac{n}{48^2}=\frac{42n}{2304}$$
Explanation
| $$ \begin{aligned}42 \cdot \frac{n}{48^2}& \xlongequal{ }42 \cdot \frac{n}{2304} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{42n}{2304}\end{aligned} $$ | |
| ① | Multiply $42$ by $ \dfrac{n}{2304} $ to get $ \dfrac{ 42n }{ 2304 } $. Step 1: Write $ 42 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 42 \cdot \frac{n}{2304} & \xlongequal{\text{Step 1}} \frac{42}{\color{red}{1}} \cdot \frac{n}{2304} \xlongequal{\text{Step 2}} \frac{ 42 \cdot n }{ 1 \cdot 2304 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 42n }{ 2304 } \end{aligned} $$ |
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Simplify Rational Expressions