Tap the blue circles to see an explanation.
| $$ \begin{aligned}1+\frac{3}{2}-\frac{5}{2}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{5}{2}-\frac{5}{2} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{0}{2} \xlongequal{ } \\[1 em] & \xlongequal{ }0\end{aligned} $$ | |
| ① | Combine like terms |
| ② | Subtract $ \dfrac{5}{2} $ from $ \dfrac{5}{2} $ to get $ \dfrac{0}{2} $. To subtract expressions with the same denominators, we subtract the numerators and write the result over the common denominator. $$ \begin{aligned} \frac{5}{2} - \frac{5}{2} & = \frac{5}{\color{blue}{2}} - \frac{5}{\color{blue}{2}} =\frac{ 5 - 5 }{ \color{blue}{ 2 }} = \\[1ex] &= \frac{0}{2} \end{aligned} $$ |