Question
Answer
$$3+6x\cdot\dfrac{5+4}{3}=18x+3$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}3+6x \cdot \frac{5+4}{3}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}3+6x\cdot\frac{9}{3} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}3 + 6x \cdot \frac{ 9 : \color{orangered}{ 3 } }{ 3 : \color{orangered}{ 3 }} \xlongequal{ } \\[1 em] & \xlongequal{ }3+6x\cdot\frac{3}{1} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} } }}}3+6x\cdot3 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}3+18x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle5}{\textcircled {5}} } }}}18x+3\end{aligned} $$ | |
| ① | Simplify numerator $$ \color{blue}{5} + \color{blue}{4} = \color{blue}{9} $$ |
| ② | Divide both the top and bottom numbers by $ \color{orangered}{ 3 } $. |
| ③ | Remove 1 from denominator. |
| ④ | $$ 6 x \cdot 3 = 18 x $$ |
| ⑤ | Combine like terms: $$ 18x+3 = 18x+3 $$ |
This page was created using
Simplify Rational Expressions