Question
Answer
$$\dfrac{14}{21}y=\dfrac{2y}{3}$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{14}{21}y& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{ 14 : \color{orangered}{ 7 } }{ 21 : \color{orangered}{ 7 }} \cdot y \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{2}{3}y \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{2y}{3}\end{aligned} $$ | |
| ① | Divide both the top and bottom numbers by $ \color{orangered}{ 7 } $. |
| ② | Multiply $ \dfrac{2}{3} $ by $ y $ to get $ \dfrac{ 2y }{ 3 } $. Step 1: Write $ y $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator. Step 2: Multiply numerators and denominators. Step 3: Simplify numerator and denominator. $$ \begin{aligned} \frac{2}{3} \cdot y & \xlongequal{\text{Step 1}} \frac{2}{3} \cdot \frac{y}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 2 \cdot y }{ 3 \cdot 1 } \xlongequal{\text{Step 3}} \frac{ 2y }{ 3 } \end{aligned} $$ |
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