Math Calculators, Lessons and Formulas

It is time to solve your math problem

mathportal.org

◀ back to index

Question

Answer

$$\dfrac{7}{2}-5=-\dfrac{3}{2}$$

Explanation
$$ \begin{aligned}\frac{7}{2}-5& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}-\frac{3}{2}\end{aligned} $$
①

Subtract $5$ from $ \dfrac{7}{2} $ to get $ \dfrac{ \color{purple}{ -3 } }{ 2 }$.

Step 1: Write $ 5 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator.

Step 2: To subtract fractions they must have the same denominator.
We can create a common denominator by multiplying the second fraction by $\color{blue}{2}$.

$$ \begin{aligned} \frac{7}{2} -5 & \xlongequal{\text{Step 1}} \frac{7}{2} - \frac{5}{\color{red}{1}} = \frac{ 7 }{ 2 } - \frac{ 5 \cdot \color{blue}{ 2 }}{ 1 \cdot \color{blue}{ 2 }} = \\[1ex] & \xlongequal{\text{Step 2}} \frac{ \color{purple}{ 7 } }{ 2 } - \frac{ \color{purple}{ 10 } }{ 2 }=\frac{ \color{purple}{ -3 } }{ 2 } \end{aligned} $$
This page was created using
Complex Expression calculator