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Question

Answer

$$\dfrac{5}{12}-\dfrac{3}{4}=-\dfrac{4}{12}$$

Explanation
$$ \begin{aligned}\frac{5}{12}-\frac{3}{4}& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-\frac{4}{12}\end{aligned} $$
①

Subtract $ \dfrac{3}{4} $ from $ \dfrac{5}{12} $ to get $ \dfrac{ \color{purple}{ -4 } }{ 12 }$.

To subtract fractions they must have the same denominator.
We can create a common denominator by multiplying the second fraction by $\color{blue}{3}$.

$$ \begin{aligned} \frac{5}{12} - \frac{3}{4} & = \frac{ 5 }{ 12 } - \frac{ 3 \cdot \color{blue}{ 3 }}{ 4 \cdot \color{blue}{ 3 }} = \\[1ex] &=\frac{ \color{purple}{ 5 } }{ 12 } - \frac{ \color{purple}{ 9 } }{ 12 }=\frac{ \color{purple}{ -4 } }{ 12 } \end{aligned} $$
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