$$\dfrac{x}{s}qrtx=\dfrac{qrtx^2}{s}$$
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{x}{s}qrtx& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{qx}{s}rtx \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{qrx}{s}tx \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{qrtx}{s}x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}\frac{qrtx^2}{s}\end{aligned} $$ | |
| ① | Multiply $ \dfrac{x}{s} $ by $ q $ to get $ \dfrac{ qx }{ s } $. Step 1: Write $ q $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{x}{s} \cdot q & \xlongequal{\text{Step 1}} \frac{x}{s} \cdot \frac{q}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ x \cdot q }{ s \cdot 1 } \xlongequal{\text{Step 3}} \frac{ qx }{ s } \end{aligned} $$ |
| ② | Multiply $ \dfrac{qx}{s} $ by $ r $ to get $ \dfrac{ qrx }{ s } $. 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. $$ \begin{aligned} \frac{qx}{s} \cdot r & \xlongequal{\text{Step 1}} \frac{qx}{s} \cdot \frac{r}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ qx \cdot r }{ s \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ qrx }{ s } \end{aligned} $$ |
| ③ | Multiply $ \dfrac{qrx}{s} $ by $ t $ to get $ \dfrac{ qrtx }{ s } $. Step 1: Write $ t $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{qrx}{s} \cdot t & \xlongequal{\text{Step 1}} \frac{qrx}{s} \cdot \frac{t}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ qrx \cdot t }{ s \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ qrtx }{ s } \end{aligned} $$ |
| ④ | Multiply $ \dfrac{qrtx}{s} $ by $ x $ to get $ \dfrac{ qrtx^2 }{ s } $. Step 1: Write $ x $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{qrtx}{s} \cdot x & \xlongequal{\text{Step 1}} \frac{qrtx}{s} \cdot \frac{x}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ qrtx \cdot x }{ s \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ qrtx^2 }{ s } \end{aligned} $$ |