Question
Answer
$$\dfrac{5}{16}x\cdot\dfrac{2}{3}=\dfrac{10x}{48}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{5}{16}x\cdot\frac{2}{3}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{5x}{16}\cdot\frac{2}{3} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{10x}{48}\end{aligned} $$ | |
| ① | Multiply $ \dfrac{5}{16} $ by $ x $ to get $ \dfrac{ 5x }{ 16 } $. 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. $$ \begin{aligned} \frac{5}{16} \cdot x & \xlongequal{\text{Step 1}} \frac{5}{16} \cdot \frac{x}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 5 \cdot x }{ 16 \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 5x }{ 16 } \end{aligned} $$ |
| ② | Multiply $ \dfrac{5x}{16} $ by $ \dfrac{2}{3} $ to get $ \dfrac{ 10x }{ 48 } $. Step 1: Multiply numerators and denominators. Step 2: Simplify numerator and denominator. $$ \begin{aligned} \frac{5x}{16} \cdot \frac{2}{3} \xlongequal{\text{Step 1}} \frac{ 5x \cdot 2 }{ 16 \cdot 3 } \xlongequal{\text{Step 2}} \frac{ 10x }{ 48 } \end{aligned} $$ |
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