Tap the blue circles to see an explanation.
| $$ \begin{aligned}\frac{1}{2}+2-\frac{2}{5}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{5}{2}-\frac{2}{5} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{21}{10}\end{aligned} $$ | |
| ① | Combine like terms |
| ② | Subtract $ \dfrac{2}{5} $ from $ \dfrac{5}{2} $ to get $ \dfrac{ \color{purple}{ 21 } }{ 10 }$. To subtract fractions they must have the same denominator. |