Question
Answer
$$r\cdot\dfrac{8}{98}=\dfrac{4r}{49}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}r\cdot\frac{8}{98}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}r \cdot \frac{ 8 : \color{orangered}{ 2 } }{ 98 : \color{orangered}{ 2 }} \xlongequal{ } \\[1 em] & \xlongequal{ }r\cdot\frac{4}{49} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{4r}{49}\end{aligned} $$ | |
| ① | Divide both the top and bottom numbers by $ \color{orangered}{ 2 } $. |
| ② | Multiply $r$ by $ \dfrac{4}{49} $ to get $ \dfrac{ 4r }{ 49 } $. Step 1: Write $ r $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} r \cdot \frac{4}{49} & \xlongequal{\text{Step 1}} \frac{r}{\color{red}{1}} \cdot \frac{4}{49} \xlongequal{\text{Step 2}} \frac{ r \cdot 4 }{ 1 \cdot 49 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 4r }{ 49 } \end{aligned} $$ |
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Simplify Rational Expressions