Answer
$$\frac{7}{3}\cdot5\frac{x}{12}=\frac{35x}{36}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{7}{3}\cdot5\frac{x}{12}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{7}{3}\frac{5x}{12} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{35x}{36}\end{aligned} $$ | |
| ① | Multiply $5$ by $ \dfrac{x}{12} $ to get $ \dfrac{ 5x }{ 12 } $. Step 1: Write $ 5 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} 5 \cdot \frac{x}{12} & \xlongequal{\text{Step 1}} \frac{5}{\color{red}{1}} \cdot \frac{x}{12} \xlongequal{\text{Step 2}} \frac{ 5 \cdot x }{ 1 \cdot 12 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 5x }{ 12 } \end{aligned} $$ |
| ② | Multiply $ \dfrac{7}{3} $ by $ \dfrac{5x}{12} $ to get $ \dfrac{ 35x }{ 36 } $. Step 1: Multiply numerators and denominators. Step 2: Simplify numerator and denominator. $$ \begin{aligned} \frac{7}{3} \cdot \frac{5x}{12} \xlongequal{\text{Step 1}} \frac{ 7 \cdot 5x }{ 3 \cdot 12 } \xlongequal{\text{Step 2}} \frac{ 35x }{ 36 } \end{aligned} $$ |
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Simplify Rational Expressions