Math Calculators, Lessons and Formulas

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Question

Answer

$$-\dfrac{7}{6}+\dfrac{3}{8}+\dfrac{1}{4}=-\dfrac{13}{24}$$

Explanation

Tap the blue circles to see an explanation.

$$ \begin{aligned}-\frac{7}{6}+\frac{3}{8}+\frac{1}{4}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-\frac{19}{24}+\frac{1}{4} \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}-\frac{13}{24}\end{aligned} $$
①
Combine like terms
②

Add $ \dfrac{-19}{24} $ and $ \dfrac{1}{4} $ to get $ \dfrac{ \color{purple}{ -13 } }{ 24 }$.

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

$$ \begin{aligned} \frac{-19}{24} + \frac{1}{4} & = \frac{ -19 }{ 24 } + \frac{ 1 \cdot \color{blue}{ 6 }}{ 4 \cdot \color{blue}{ 6 }} = \\[1ex] &=\frac{ \color{purple}{ -19 } }{ 24 } + \frac{ \color{purple}{ 6 } }{ 24 }=\frac{ \color{purple}{ -13 } }{ 24 } \end{aligned} $$
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