$$\dfrac{12}{s}qrt\cdot3=\dfrac{36qrt}{s}$$
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{12}{s}qrt\cdot3& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{12q}{s}rt\cdot3 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{12qr}{s}t\cdot3 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}\frac{12qrt}{s}\cdot3 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}\frac{36qrt}{s}\end{aligned} $$ | |
| ① | Multiply $ \dfrac{12}{s} $ by $ q $ to get $ \dfrac{ 12q }{ 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. $$ \begin{aligned} \frac{12}{s} \cdot q & \xlongequal{\text{Step 1}} \frac{12}{s} \cdot \frac{q}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 12 \cdot q }{ s \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 12q }{ s } \end{aligned} $$ |
| ② | Multiply $ \dfrac{12q}{s} $ by $ r $ to get $ \dfrac{ 12qr }{ 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. $$ \begin{aligned} \frac{12q}{s} \cdot r & \xlongequal{\text{Step 1}} \frac{12q}{s} \cdot \frac{r}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 12q \cdot r }{ s \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 12qr }{ s } \end{aligned} $$ |
| ③ | Multiply $ \dfrac{12qr}{s} $ by $ t $ to get $ \dfrac{ 12qrt }{ 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. $$ \begin{aligned} \frac{12qr}{s} \cdot t & \xlongequal{\text{Step 1}} \frac{12qr}{s} \cdot \frac{t}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 12qr \cdot t }{ s \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 12qrt }{ s } \end{aligned} $$ |
| ④ | Multiply $ \dfrac{12qrt}{s} $ by $ 3 $ to get $ \dfrac{ 36qrt }{ s } $. Step 1: Write $ 3 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{12qrt}{s} \cdot 3 & \xlongequal{\text{Step 1}} \frac{12qrt}{s} \cdot \frac{3}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 12qrt \cdot 3 }{ s \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 36qrt }{ s } \end{aligned} $$ |