Question
Answer
$$\dfrac{6}{12}+\dfrac{2}{4}=1$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{6}{12}+\frac{2}{4}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{ 6 : \color{orangered}{ 6 } }{ 12 : \color{orangered}{ 6 }} + \frac{ 2 : \color{orangered}{ 2 } }{ 4 : \color{orangered}{ 2 }} \xlongequal{ } \\[1 em] & \xlongequal{ }\frac{1}{2}+\frac{1}{2} \xlongequal{ } \\[1 em] & \xlongequal{ }2\cdot\frac{1}{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}1\end{aligned} $$ | |
| ① | Divide both the top and bottom numbers by $ \color{orangered}{ 6 } $. |
| ② | Divide both the top and bottom numbers by $ \color{orangered}{ 2 } $. |
| ③ | Multiply $2$ by $ \dfrac{1}{2} $ to get $ 1$. Step 1: Write $ 2 $ as a fraction by putting $ \color{red}{1} $ in the denominator. Step 2: Cancel $ \color{blue}{ 2 } $ in first and second fraction. Step 3: Multiply numerators and denominators. $$ \begin{aligned} 2 \cdot \frac{1}{2} & \xlongequal{\text{Step 1}} \frac{2}{\color{red}{1}} \cdot \frac{1}{2} \xlongequal{\text{Step 2}} \frac{\color{blue}{1}}{1} \cdot \frac{1}{\color{blue}{1}} = \\[1ex] &= \frac{1}{1} =1 \end{aligned} $$ |
This page was created using
Simplify Rational Expressions