Math Calculators, Lessons and Formulas

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Question

Answer

$$\dfrac{2}{3}+\dfrac{5}{6}-\dfrac{1}{12}=\dfrac{17}{12}$$

Explanation

Tap the blue circles to see an explanation.

$$ \begin{aligned}\frac{2}{3}+\frac{5}{6}-\frac{1}{12}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}\frac{3}{2}-\frac{1}{12} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}\frac{17}{12}\end{aligned} $$
①
Combine like terms
②

Subtract $ \dfrac{1}{12} $ from $ \dfrac{3}{2} $ to get $ \dfrac{ \color{purple}{ 17 } }{ 12 }$.

To subtract fractions they must have the same denominator.
We can create a common denominator by multiplying the first fraction by $\color{blue}{ 6 }$.

$$ \begin{aligned} \frac{3}{2} - \frac{1}{12} & = \frac{ 3 \cdot \color{blue}{ 6 }}{ 2 \cdot \color{blue}{ 6 }} - \frac{ 1 }{ 12 } = \\[1ex] &=\frac{ \color{purple}{ 18 } }{ 12 } - \frac{ \color{purple}{ 1 } }{ 12 }=\frac{ \color{purple}{ 17 } }{ 12 } \end{aligned} $$
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Simplify Rational Expressions